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Jokela N, Kajantie K, Sarkkinen M. Gravitational wave memory and its tail in cosmology. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.106.064022] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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2
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Yoo J, Varma V, Giesler M, Scheel MA, Haster CJ, Pfeiffer HP, Kidder LE, Boyle M. Targeted large mass ratio numerical relativity surrogate waveform model for GW190814. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.106.044001] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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3
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Battista E, De Falco V. Gravitational waves at the first post-Newtonian order with the Weyssenhoff fluid in Einstein-Cartan theory. THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS 2022; 82:628. [PMID: 35891936 PMCID: PMC9307564 DOI: 10.1140/epjc/s10052-022-10558-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/15/2022] [Accepted: 06/24/2022] [Indexed: 11/18/2022]
Abstract
The generation of gravitational waves from a post-Newtonian source endowed with a quantum spin, modeled by the Weyssenhoff fluid, is investigated in the context of Einstein-Cartan theory at the first post-Newtonian level by resorting to the Blanchet-Damour formalism. After having worked out the basic principles of the hydrodynamics in Einstein-Cartan framework, we study the Weyssenhoff fluid within the post-Newtonian approximation scheme. The complexity of the underlying dynamical equations suggests to employ a discrete description via the point-particle limit, a procedure which permits the analysis of inspiralling spinning compact binaries. We then provide a first application of our results by considering binary neutron star systems.
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Affiliation(s)
- Emmanuele Battista
- Department of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
| | - Vittorio De Falco
- Scuola Superiore Meridionale, Largo San Marcellino 10, 80138 Napoli, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126 Napoli, Italy
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Barkett K, Chen Y, Scheel MA, Varma V. Gravitational waveforms of binary neutron star inspirals using post-Newtonian tidal splicing. Int J Clin Exp Med 2020. [DOI: 10.1103/physrevd.102.024031] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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5
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Blanchet L, Foffa S, Larrouturou F, Sturani R. Logarithmic tail contributions to the energy function of circular compact binaries. Int J Clin Exp Med 2020. [DOI: 10.1103/physrevd.101.084045] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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6
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Kastha S, Gupta A, Arun K, Sathyaprakash B, Van Den Broeck C. Testing the multipole structure and conservative dynamics of compact binaries using gravitational wave observations: The spinning case. Int J Clin Exp Med 2019. [DOI: 10.1103/physrevd.100.044007] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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8
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Cardoso V, Gualtieri L, Herdeiro C, Sperhake U. Exploring New Physics Frontiers Through Numerical Relativity. LIVING REVIEWS IN RELATIVITY 2015; 18:1. [PMID: 28179851 PMCID: PMC5255938 DOI: 10.1007/lrr-2015-1] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 08/29/2014] [Indexed: 05/13/2023]
Abstract
The demand to obtain answers to highly complex problems within strong-field gravity has been met with significant progress in the numerical solution of Einstein's equations - along with some spectacular results - in various setups. We review techniques for solving Einstein's equations in generic spacetimes, focusing on fully nonlinear evolutions but also on how to benchmark those results with perturbative approaches. The results address problems in high-energy physics, holography, mathematical physics, fundamental physics, astrophysics and cosmology.
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Affiliation(s)
- Vitor Cardoso
- CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, 1049 Lisboa, Portugal
- Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5 Canada
| | - Leonardo Gualtieri
- Dipartimento di Fisica, Università di Roma “La Sapienza” & Sezione INFN Roma1, P.A. Moro 5, 00185 Roma, Italy
| | - Carlos Herdeiro
- Departamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, Portugal
| | - Ulrich Sperhake
- DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA UK
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9
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Will CM. The Confrontation between General Relativity and Experiment. LIVING REVIEWS IN RELATIVITY 2014; 17:4. [PMID: 28179848 PMCID: PMC5255900 DOI: 10.12942/lrr-2014-4] [Citation(s) in RCA: 188] [Impact Index Per Article: 18.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 06/06/2014] [Indexed: 05/14/2023]
Abstract
The status of experimental tests of general relativity and of theoretical frameworks for analyzing them is reviewed and updated. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eötvös experiment, tests of local Lorentz invariance and clock experiments. Ongoing tests of EEP and of the inverse square law are searching for new interactions arising from unification or quantum gravity. Tests of general relativity at the post-Newtonian level have reached high precision, including the light deflection, the Shapiro time delay, the perihelion advance of Mercury, the Nordtvedt effect in lunar motion, and frame-dragging. Gravitational wave damping has been detected in an amount that agrees with general relativity to better than half a percent using the Hulse-Taylor binary pulsar, and a growing family of other binary pulsar systems is yielding new tests, especially of strong-field effects. Current and future tests of relativity will center on strong gravity and gravitational waves.
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Affiliation(s)
- Clifford M. Will
- Department of Physics, University of Florida, Gainesville, FL 32611 USA
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10
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Mundim BC, Nakano H, Yunes N, Campanelli M, Noble SC, Zlochower Y. Approximate black hole binary spacetime via asymptotic matching. Int J Clin Exp Med 2014. [DOI: 10.1103/physrevd.89.084008] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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11
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Blanchet L. Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries. LIVING REVIEWS IN RELATIVITY 2014; 17:2. [PMID: 28179846 PMCID: PMC5256563 DOI: 10.12942/lrr-2014-2] [Citation(s) in RCA: 150] [Impact Index Per Article: 15.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 01/27/2014] [Indexed: 05/04/2023]
Abstract
To be observed and analyzed by the network of gravitational wave detectors on ground (LIGO, VIRGO, etc.) and by the future detectors in space (eLISA, etc.), inspiralling compact binaries - binary star systems composed of neutron stars and/or black holes in their late stage of evolution - require high-accuracy templates predicted by general relativity theory. The gravitational waves emitted by these very relativistic systems can be accurately modelled using a high-order post-Newtonian gravitational wave generation formalism. In this article, we present the current state of the art on post-Newtonian methods as applied to the dynamics and gravitational radiation of general matter sources (including the radiation reaction back onto the source) and inspiralling compact binaries. We describe the post-Newtonian equations of motion of compact binaries and the associated Lagrangian and Hamiltonian formalisms, paying attention to the self-field regularizations at work in the calculations. Several notions of innermost circular orbits are discussed. We estimate the accuracy of the post-Newtonian approximation and make a comparison with numerical computations of the gravitational self-force for compact binaries in the small mass ratio limit. The gravitational waveform and energy flux are obtained to high post-Newtonian order and the binary's orbital phase evolution is deduced from an energy balance argument. Some landmark results are given in the case of eccentric compact binaries - moving on quasi-elliptical orbits with non-negligible eccentricity. The spins of the two black holes play an important role in the definition of the gravitational wave templates. We investigate their imprint on the equations of motion and gravitational wave phasing up to high post-Newtonian order (restricting to spin-orbit effects which are linear in spins), and analyze the post-Newtonian spin precession equations as well as the induced precession of the orbital plane.
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Affiliation(s)
- Luc Blanchet
- Institut d’Astrophysique de Paris, 98bis Boulevard Arago, 75014 Paris, France
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O’Shaughnessy R, Healy J, London L, Meeks Z, Shoemaker D. IsJenough? Comparison of gravitational waves emitted along the total angular momentum direction with other preferred orientations. Int J Clin Exp Med 2012. [DOI: 10.1103/physrevd.85.084003] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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14
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Yagi K, Stein LC, Yunes N, Tanaka T. Post-Newtonian, quasicircular binary inspirals in quadratic modified gravity. Int J Clin Exp Med 2012. [DOI: 10.1103/physrevd.85.064022 10.1103/physrevd.93.029902] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Field SE, Galley CR, Herrmann F, Hesthaven JS, Ochsner E, Tiglio M. Reduced basis catalogs for gravitational wave templates. PHYSICAL REVIEW LETTERS 2011; 106:221102. [PMID: 21702591 DOI: 10.1103/physrevlett.106.221102] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/19/2011] [Indexed: 05/31/2023]
Abstract
We introduce a reduced basis approach as a new paradigm for modeling, representing and searching for gravitational waves. We construct waveform catalogs for nonspinning compact binary coalescences, and we find that for accuracies of 99% and 99.999% the method generates a factor of about 10-10(5) fewer templates than standard placement methods. The continuum of gravitational waves can be represented by a finite and comparatively compact basis. The method is robust under variations in the noise of detectors, implying that only a single catalog needs to be generated.
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Affiliation(s)
- Scott E Field
- Department of Physics, Brown University, Providence, Rhode Island 02912, USA
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16
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Gergely LÁ. Spinning compact binary inspiral: Independent variables and dynamically preserved spin configurations. Int J Clin Exp Med 2010. [DOI: 10.1103/physrevd.81.084025] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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17
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Tessmer M. Gravitational waveforms from unequal-mass binaries with arbitrary spins under leading order spin-orbit coupling. Int J Clin Exp Med 2009. [DOI: 10.1103/physrevd.80.124034] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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18
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Porter EK. New template family for the detection of gravitational waves from comparable-mass black hole binaries. Int J Clin Exp Med 2007. [DOI: 10.1103/physrevd.76.104002] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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19
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Futamase T, Itoh Y. The Post-Newtonian Approximation for Relativistic Compact Binaries. LIVING REVIEWS IN RELATIVITY 2007; 10:2. [PMID: 28179819 PMCID: PMC5255906 DOI: 10.12942/lrr-2007-2] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 01/19/2007] [Indexed: 05/21/2023]
Abstract
We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we show a method to derive post-Newtonian equations of motion for relativistic compact binaries based on a surface integral approach and the strong field point particle limit. As an application we derive third post-Newtonian equations of motion for relativistic compact binaries which respect the Lorentz invariance in the post-Newtonian perturbative sense, admit a conserved energy, and are free from any ambiguity.
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Affiliation(s)
| | - Yousuke Itoh
- Astronomical Institute, Tohoku University, Sendai, 980-8578 Japan
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Blanchet L. Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries. LIVING REVIEWS IN RELATIVITY 2006; 9:4. [PMID: 28179874 PMCID: PMC5255899 DOI: 10.12942/lrr-2006-4] [Citation(s) in RCA: 50] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 05/16/2006] [Indexed: 05/25/2023]
Abstract
The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian sources. The exterior field of the source is investigated by means of a combination of analytic post-Minkowskian and multipolar approximations. The physical observables in the far-zone of the source are described by a specific set of radiative multipole moments. By matching the exterior solution to the metric of the post-Newtonian source in the near-zone we obtain the explicit expressions of the source multipole moments. The relationships between the radiative and source moments involve many nonlinear multipole interactions, among them those associated with the tails (and tails-of-tails) of gravitational waves. Part B of the article is devoted to the application to compact binary systems. We present the equations of binary motion, and the associated Lagrangian and Hamiltonian, at the third post-Newtonian (3PN) order beyond the Newtonian acceleration. The gravitational-wave energy flux, taking consistently into account the relativistic corrections in the binary moments as well as the various tail effects, is derived through 3.5PN order with respect to the quadrupole formalism. The binary's orbital phase, whose prior knowledge is crucial for searching and analyzing the signals from inspiralling compact binaries, is deduced from an energy balance argument.
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Affiliation(s)
- Luc Blanchet
- Institut d’Astrophysique de Paris, 98bis Boulevard Arago, 75014 Paris, France
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22
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Will CM. The Confrontation between General Relativity and Experiment. LIVING REVIEWS IN RELATIVITY 2006; 9:3. [PMID: 28179873 PMCID: PMC5256066 DOI: 10.12942/lrr-2006-3] [Citation(s) in RCA: 132] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 02/27/2006] [Indexed: 05/18/2023]
Abstract
The status of experimental tests of general relativity and of theoretical frameworks for analyzing them is reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eötvös experiment, tests of special relativity, and the gravitational redshift experiment. Ongoing tests of EEP and of the inverse square law are searching for new interactions arising from unification or quantum gravity. Tests of general relativity at the post-Newtonian level have reached high precision, including the light deflection, the Shapiro time delay, the perihelion advance of Mercury, and the Nordtvedt effect in lunar motion. Gravitational wave damping has been detected in an amount that agrees with general relativity to better than half a percent using the Hulse-Taylor binary pulsar, and other binary pulsar systems have yielded other tests, especially of strong-field effects. When direct observation of gravitational radiation from astrophysical sources begins, new tests of general relativity will be possible.
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Affiliation(s)
- Clifford M. Will
- McDonnell Center for the Space Sciences Department of Physics, Washington University, St. Louis, MO 63130 USA
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23
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Porter EK, Sathyaprakash BS. Improved gravitational waveforms from spinning black hole binaries. Int J Clin Exp Med 2005. [DOI: 10.1103/physrevd.71.024017] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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24
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Blanchet L, Damour T, Esposito-Farèse G, Iyer BR. Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order. PHYSICAL REVIEW LETTERS 2004; 93:091101. [PMID: 15447090 DOI: 10.1103/physrevlett.93.091101] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/03/2004] [Indexed: 05/21/2023]
Abstract
The gravitational radiation from point particle binaries is computed at the third post-Newtonian (3PN) approximation of general relativity. Three previously introduced ambiguity parameters, coming from the Hadamard self-field regularization of the 3PN source-type mass quadrupole moment, are consistently determined by means of dimensional regularization, and proved to have the values xi=-9871/9240, kappa=0, and zeta=-7/33. These results complete the derivation of the general relativistic prediction for compact binary inspiral up to 3.5PN order, and should be of use for searching and deciphering the signals in the current network of gravitational wave detectors.
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Affiliation(s)
- Luc Blanchet
- GReCO, FRE 2435-CNRS, Institut d'Astrophysique de Paris, 98bis boulevard Arago, F-75014 Paris, France
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Sasaki M, Tagoshi H. Analytic Black Hole Perturbation Approach to Gravitational Radiation. LIVING REVIEWS IN RELATIVITY 2003; 6:6. [PMID: 28936117 PMCID: PMC5591631 DOI: 10.12942/lrr-2003-6] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 09/05/2003] [Indexed: 05/27/2023]
Abstract
We review the analytic methods used to perform the post-Newtonian expansion of gravitational waves induced by a particle orbiting a massive, compact body, based on black hole perturbation theory. There exist two different methods of performing the post-Newtonian expansion. Both are based on the Teukolsky equation. In one method, the Teukolsky equation is transformed into a Regge-Wheeler type equation that reduces to the standard Klein Gordon equation in the flat-space limit, while in the other method (which was introduced by Mano, Suzuki, and Takasugi relatively recently, the Teukolsky equation is used directly in its original form. The former's advantage is that it is intuitively easy to understand how various curved space effects come into play. However, it becomes increasingly complicated when one goes to higher and higher post-Newtonian orders. In contrast, the latter's advantage is that a systematic calculation to higher post-Newtonian orders can be implemented relatively easily, but otherwise, it is so mathematical that it is hard to understand the interplay of higher order terms. In this paper, we review both methods so that their pros and cons may be seen clearly. We also review some results of calculations of gravitational radiation emitted by a particle orbiting a black hole.
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Affiliation(s)
- Misao Sasaki
- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502 Japan
| | - Hideyuki Tagoshi
- Department of Earth and Space Science, Osaka University, Toyonaka, Osaka, 560-0043 Japan
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26
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Blanchet L. Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries. LIVING REVIEWS IN RELATIVITY 2002; 5:3. [PMID: 28179860 PMCID: PMC5256116 DOI: 10.12942/lrr-2002-3] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 02/01/2002] [Indexed: 05/20/2023]
Abstract
The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian sources. The exterior field of the source is investigated by means of a combination of analytic post-Minkowskian and multipolar approximations. The physical observables in the far-zone of the source are described by a specific set of radiative multipole moments. By matching the exterior solution to the metric of the post-Newtonian source in the near-zone we obtain the explicit expressions of the source multipole moments. The relationships between the radiative and source moments involve many nonlinear multipole interactions, among them those associated with the tails (and tails-of-tails of gravitational waves. Part B of the article is devoted to the application to compact binary systems. We present the equations of binary motion, and the associated Lagrangian and Hamiltonian, at the third post-Newtonian (3PN) order beyond the Newtonian acceleration. The gravitational-wave energy flux, taking consistently into account the relativistic corrections in the binary moments as well as the various tail effects, is derived through 3.5PN order with respect to the quadrupole formalism. The binary's orbital phase, whose prior knowledge is crucial for searching and analyzing the signals from inspiralling compact binaries, is deduced from an energy balance argument.
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Affiliation(s)
- Luc Blanchet
- Institut d’Astrophysique de Paris, 98bis Boulevard Arago, 75014 Paris, France
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27
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Damour T, Iyer BR, Sathyaprakash BS. Comparison of search templates for gravitational waves from binary inspiral. Int J Clin Exp Med 2001. [DOI: 10.1103/physrevd.63.044023 10.1103/physrevd.72.029902] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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28
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Will CM. The Confrontation between General Relativity and Experiment. LIVING REVIEWS IN RELATIVITY 2001; 4:4. [PMID: 28163632 PMCID: PMC5253802 DOI: 10.12942/lrr-2001-4] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eötvös experiment, tests of special relativity, and the gravitational redshift experiment. Future tests of EEP and of the inverse square law will search for new interactions arising from unification or quantum gravity. Tests of general relativity at the post-Newtonian level have reached high precision, including the light defl ection the Shapiro time delay, the perihelion advance of Mercury, and the Nordtvedt effect in lunar motion. Gravitational wave damping has been detected in an amount that agrees with general relativity to half a percent using the Hulse-Taylor binary pulsar, and new binary pulsar systems may yield further improvements. When direct observation of gravitational radiation from astrophysical sources begins, new tests of general relativity will be possible.
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Affiliation(s)
- Clifford M Will
- McDonnell Center for the Space Sciences, Department of Physics, Washington University, 63130 St. Louis, MO USA
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29
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Levin J. Gravity waves, chaos, and spinning compact binaries. PHYSICAL REVIEW LETTERS 2000; 84:3515-3518. [PMID: 11019134 DOI: 10.1103/physrevlett.84.3515] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/11/1999] [Indexed: 05/23/2023]
Abstract
Spinning compact binaries are shown to be chaotic in the post-Newtonian expansion of the two-body system. Chaos by definition is the extreme sensitivity to initial conditions and a consequent inability to predict the outcome of the evolution. As a result, the spinning pair will have unpredictable gravitational waveforms during coalescence. This poses a challenge to future gravity wave observatories which rely on a match between the data and a theoretical template.
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Affiliation(s)
- J Levin
- DAMTP, Cambridge University, Wilberforce Road, Cambridge CB3 0WA, United Kingdom and and Astronomy Centre, University of Sussex, Brighton BN1 9QJ, United Kingdom
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Á. Gergely L, Perjés ZI, Vasúth M. Spin effects in gravitational radiation back reaction. III. Compact binaries with two spinning components. Int J Clin Exp Med 1998. [DOI: 10.1103/physrevd.58.124001] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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