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Blanchet L, Faye G, Henry Q, Larrouturou F, Trestini D. Gravitational-Wave Phasing of Quasicircular Compact Binary Systems to the Fourth-and-a-Half Post-Newtonian Order. PHYSICAL REVIEW LETTERS 2023; 131:121402. [PMID: 37802935 DOI: 10.1103/physrevlett.131.121402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/16/2023] [Accepted: 07/10/2023] [Indexed: 10/08/2023]
Abstract
The inspiral phase of gravitational waves emitted by spinless compact binary systems is derived through the fourth-and-a-half post-Newtonian (4.5PN) order beyond quadrupole radiation, and the leading amplitude mode (ℓ,m)=(2,2) is obtained at 4PN order. We also provide the radiated flux, as well as the phase in the stationary phase approximation. Rough numerical estimates for the contribution of each PN order are provided for typical systems observed by current and future gravitational wave detectors.
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Affiliation(s)
- Luc Blanchet
- 𝒢ℝϵℂ𝒪, Institut d'Astrophysique de Paris, UMR 7095, CNRS, Sorbonne Université, 98bis boulevard Arago, 75014 Paris, France
| | - Guillaume Faye
- 𝒢ℝϵℂ𝒪, Institut d'Astrophysique de Paris, UMR 7095, CNRS, Sorbonne Université, 98bis boulevard Arago, 75014 Paris, France
- Centre for Strings, Gravitation and Cosmology, Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India
| | - Quentin Henry
- Max Planck Institute for Gravitational Physics (Albert Einstein Institute), D-14476 Potsdam, Germany
| | | | - David Trestini
- 𝒢ℝϵℂ𝒪, Institut d'Astrophysique de Paris, UMR 7095, CNRS, Sorbonne Université, 98bis boulevard Arago, 75014 Paris, France
- Laboratoire Univers et Théories, Observatoire de Paris, Université PSL, Université Paris Cité, CNRS, F-92190 Meudon, France
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2
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Koenigstein A, Steil MJ, Wink N, Grossi E, Braun J, Buballa M, Rischke DH. Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The
O(N)
model. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.106.065012] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Abstract
Primordial black holes, which could have been formed in the very early Universe due to the collapse of large curvature fluctuations, are currently one of the most attractive and fascinating research areas in cosmology for their possible theoretical and observational implications. This review article presents the current results and developments on the conditions for primordial black hole formation from the collapse of curvature fluctuations in spherical symmetry on a Friedman–Lemaître–Robertson–Walker background and its numerical simulation. We review the appropriate formalism for the conditions of primordial black hole formation, and we detail a numerical implementation. We then focus on different results regarding the threshold and the black hole mass using different sets of curvature fluctuations. Finally, we present the current state of analytical estimations for the primordial black hole formation threshold, contrasted with numerical simulations.
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Mathews GJ, Kedia A, Kim HI, Suh IS. Neutron Star Mergers and the Quark Matter Equation of State. EPJ WEB OF CONFERENCES 2022. [DOI: 10.1051/epjconf/202227401013] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
As neutron stars merge they can approach very high nuclear density. Here, we summarized recent results for the evolution and gravitational wave emission from binary-neutron star mergers using a a variety of nuclear equations of state with and without a crossover transition to quark matter. We discuss how the late time gravitational wave emission from binary neutron star mergers may possibly reveal the existence of a crossover transition to quark matter.
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Florkowski W, Heller MP, Spaliński M. New theories of relativistic hydrodynamics in the LHC era. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2018; 81:046001. [PMID: 29225204 DOI: 10.1088/1361-6633/aaa091] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
The success of relativistic hydrodynamics as an essential part of the phenomenological description of heavy-ion collisions at RHIC and the LHC has motivated a significant body of theoretical work concerning its fundamental aspects. Our review presents these developments from the perspective of the underlying microscopic physics, using the language of quantum field theory, relativistic kinetic theory, and holography. We discuss the gradient expansion, the phenomenon of hydrodynamization, as well as several models of hydrodynamic evolution equations, highlighting the interplay between collective long-lived and transient modes in relativistic matter. Our aim to provide a unified presentation of this vast subject-which is naturally expressed in diverse mathematical languages-has also led us to include several new results on the large-order behaviour of the hydrodynamic gradient expansion.
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Affiliation(s)
- Wojciech Florkowski
- Institute of Nuclear Physics, Polish Academy of Sciences, PL-31-342 Krakow, Poland. Jan Kochanowski University, PL-25-406 Kielce, Poland. ExtreMe Matter Institute EMMI, GSI, D-64291 Darmstadt, Germany
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Traykova D, Braden J, Peiris HV. Accretion of a symmetry-breaking scalar field by a Schwarzschild black hole. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2018; 376:20170122. [PMID: 29358358 PMCID: PMC5784031 DOI: 10.1098/rsta.2017.0122] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 10/26/2017] [Indexed: 06/07/2023]
Abstract
We simulate the behaviour of a Higgs-like field in the vicinity of a Schwarzschild black hole using a highly accurate numerical framework. We consider both the limit of the zero-temperature Higgs potential and a toy model for the time-dependent evolution of the potential when immersed in a slowly cooling radiation bath. Through these numerical investigations, we aim to improve our understanding of the non-equilibrium dynamics of a symmetry-breaking field (such as the Higgs) in the vicinity of a compact object such as a black hole. Understanding this dynamics may suggest new approaches for studying properties of scalar fields using black holes as a laboratory.This article is part of the Theo Murphy meeting issue 'Higgs Cosmology'.
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Affiliation(s)
- Dina Traykova
- Department of Physics and Astronomy, University College London, London WC1E 6BT, UK
| | - Jonathan Braden
- Department of Physics and Astronomy, University College London, London WC1E 6BT, UK
| | - Hiranya V Peiris
- Department of Physics and Astronomy, University College London, London WC1E 6BT, UK
- The Oskar Klein Centre for Cosmoparticle Physics, Stockholm University, AlbaNova, Stockholm 106 91, Sweden
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7
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Janik RA, Jankowski J, Soltanpanahi H. Real-Time Dynamics and Phase Separation in a Holographic First-Order Phase Transition. PHYSICAL REVIEW LETTERS 2017; 119:261601. [PMID: 29328720 DOI: 10.1103/physrevlett.119.261601] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/11/2017] [Indexed: 06/07/2023]
Abstract
We study the fully nonlinear time evolution of a holographic system possessing a first order phase transition. The initial state is chosen in the spinodal region of the phase diagram, and it includes an inhomogeneous perturbation in one of the field theory directions. The final state of the time evolution shows a clear phase separation in the form of domain formation. The results indicate the existence of a very rich class of inhomogeneous black hole solutions.
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Affiliation(s)
- Romuald A Janik
- Institute of Physics, Jagiellonian University, Lojasiewicza 11, 30-348 Krakow, Poland
| | - Jakub Jankowski
- Faculty of Physics, University of Warsaw, ulica Pasteura 5, 02-093 Warsaw, Poland
| | - Hesam Soltanpanahi
- School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Teheran 19538-33511, Iran
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Paschalidis V, Stergioulas N. Rotating stars in relativity. LIVING REVIEWS IN RELATIVITY 2017; 20:7. [PMID: 29225510 PMCID: PMC5707374 DOI: 10.1007/s41114-017-0008-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/08/2016] [Accepted: 10/03/2017] [Indexed: 05/13/2023]
Abstract
Rotating relativistic stars have been studied extensively in recent years, both theoretically and observationally, because of the information they might yield about the equation of state of matter at extremely high densities and because they are considered to be promising sources of gravitational waves. The latest theoretical understanding of rotating stars in relativity is reviewed in this updated article. The sections on equilibrium properties and on nonaxisymmetric oscillations and instabilities in f-modes and r-modes have been updated. Several new sections have been added on equilibria in modified theories of gravity, approximate universal relationships, the one-arm spiral instability, on analytic solutions for the exterior spacetime, rotating stars in LMXBs, rotating strange stars, and on rotating stars in numerical relativity including both hydrodynamic and magnetohydrodynamic studies of these objects.
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Affiliation(s)
- Vasileios Paschalidis
- Theoretical Astrophysics Program, Departments of Astronomy and Physics, University of Arizona, Tucson, AZ 85721 USA
- Department of Physics, Princeton University, Princeton, NJ 08544 USA
| | - Nikolaos Stergioulas
- Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
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Sourie A, Oertel M, Novak J. Numerical models for stationary superfluid neutron stars in general relativity with realistic equations of state. Int J Clin Exp Med 2016. [DOI: 10.1103/physrevd.93.083004] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Martí JM, Müller E. Grid-based Methods in Relativistic Hydrodynamics and Magnetohydrodynamics. ACTA ACUST UNITED AC 2015; 1:3. [PMID: 30652121 PMCID: PMC6319500 DOI: 10.1007/lrca-2015-3] [Citation(s) in RCA: 52] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 12/01/2015] [Indexed: 12/01/2022]
Abstract
An overview of grid-based numerical methods used in relativistic hydrodynamics (RHD) and magnetohydrodynamics (RMHD) is presented. Special emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods. Results of a set of demanding test bench simulations obtained with different numerical methods are compared in an attempt to assess the present capabilities and limits of the various numerical strategies. Applications to three astrophysical phenomena are briefly discussed to motivate the need for and to demonstrate the success of RHD and RMHD simulations in their understanding. The review further provides FORTRAN programs to compute the exact solution of the Riemann problem in RMHD, and to simulate 1D RMHD flows in Cartesian coordinates.
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Affiliation(s)
- José María Martí
- 1Departamento de Astronomía y Astrofísica, Universidad de Valencia, 46100 Burjassot, Valencia, Spain.,2Observatori Astronòmic, Universidad de Valencia, 46980 Burjassot, Valencia, Spain
| | - Ewald Müller
- 3Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85748 Garching, Germany
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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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12
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Fodor G, Forgács P, Grandclément P. Scalar field breathers on anti–de Sitter background. Int J Clin Exp Med 2014. [DOI: 10.1103/physrevd.89.065027] [Citation(s) in RCA: 11] [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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13
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Jovanovic R, Kais S, Alharbi FH. Efficient method for localised functions using domain transformation and Fourier sine series. Mol Phys 2013. [DOI: 10.1080/00268976.2013.859311] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Alharbi FH, Kais S. Quantum criticality analysis by finite-size scaling and exponential basis sets. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 87:043308. [PMID: 23679549 DOI: 10.1103/physreve.87.043308] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/14/2012] [Indexed: 06/02/2023]
Abstract
We combine the finite-size scaling method with the mesh-free spectral method to calculate quantum critical parameters for a given Hamiltonian. The basic idea is to expand the exact wave function in a finite exponential basis set and extrapolate the information about system criticality from a finite basis to the infinite basis set limit. The used exponential basis set, though chosen intuitively, allows handling a very wide range of exponential decay rates and calculating multiple eigenvalues simultaneously. As a benchmark system to illustrate the combined approach, we choose the Hulthen potential. The results show that the method is very accurate and converges faster when compared with other basis functions. The approach is general and can be extended to examine near-threshold phenomena for atomic and molecular systems based on even-tempered exponential and Gaussian basis functions.
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Affiliation(s)
- Fahhad H Alharbi
- Qatar Environment and Energy Research Institute (QEERI), Doha, Qatar.
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15
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Uryū K, Tsokaros A, Grandclément P. New code for equilibriums and quasiequilibrium initial data of compact objects. II. Convergence tests and comparisons of binary black hole initial data. Int J Clin Exp Med 2012. [DOI: 10.1103/physrevd.86.104001] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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16
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Shibata M, Taniguchi K. Coalescence of Black Hole-Neutron Star Binaries. LIVING REVIEWS IN RELATIVITY 2011; 14:6. [PMID: 28163619 PMCID: PMC5255529 DOI: 10.12942/lrr-2011-6] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 07/07/2011] [Indexed: 05/27/2023]
Abstract
We review the current status of general relativistic studies for the coalescence of black hole-neutron star (BH-NS) binaries. First, procedures for a solution of BH-NS binaries in quasi-equilibrium circular orbits and the numerical results, such as quasi-equilibrium sequence and mass-shedding limit, of the high-precision computation, are summarized. Then, the current status of numerical-relativity simulations for the merger of BH-NS binaries is described. We summarize our understanding for the merger and/or tidal disruption processes, the criterion for tidal disruption, the properties of the remnant formed after the tidal disruption, gravitational waveform, and gravitational-wave spectrum.
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Affiliation(s)
- Masaru Shibata
- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502 Japan
| | - Keisuke Taniguchi
- Graduate School of Arts and Sciences, The University of Tokyo, Tokyo, 153-8902 Japan
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17
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de Oliveira HP, Rodrigues EL, Skea JEF. Gravitational collapse of scalar fields via spectral methods. Int J Clin Exp Med 2010. [DOI: 10.1103/physrevd.82.104023] [Citation(s) in RCA: 6] [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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18
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Zenginoğlu A, Kidder LE. Hyperboloidal evolution of test fields in three spatial dimensions. Int J Clin Exp Med 2010. [DOI: 10.1103/physrevd.81.124010] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Vasset N, Novak J, Jaramillo JL. Excised black hole spacetimes: Quasilocal horizon formalism applied to the Kerr example. Int J Clin Exp Med 2009. [DOI: 10.1103/physrevd.79.124010] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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