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Caldwell R, Cui Y, Guo HK, Mandic V, Mariotti A, No JM, Ramsey-Musolf MJ, Sakellariadou M, Sinha K, Wang LT, White G, Zhao Y, An H, Bian L, Caprini C, Clesse S, Cline JM, Cusin G, Fornal B, Jinno R, Laurent B, Levi N, Lyu KF, Martinez M, Miller AL, Redigolo D, Scarlata C, Sevrin A, Haghi BSE, Shu J, Siemens X, Steer DA, Sundrum R, Tamarit C, Weir DJ, Xie KP, Yang FW, Zhou S. Detection of early-universe gravitational-wave signatures and fundamental physics. GENERAL RELATIVITY AND GRAVITATION 2022; 54:156. [PMID: 36465478 PMCID: PMC9712380 DOI: 10.1007/s10714-022-03027-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 04/23/2022] [Accepted: 10/20/2022] [Indexed: 06/17/2023]
Abstract
Detection of a gravitational-wave signal of non-astrophysical origin would be a landmark discovery, potentially providing a significant clue to some of our most basic, big-picture scientific questions about the Universe. In this white paper, we survey the leading early-Universe mechanisms that may produce a detectable signal-including inflation, phase transitions, topological defects, as well as primordial black holes-and highlight the connections to fundamental physics. We review the complementarity with collider searches for new physics, and multimessenger probes of the large-scale structure of the Universe.
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Affiliation(s)
- Robert Caldwell
- Department of Physics and Astronomy, Dartmouth College, Hanover, NH 03755 USA
| | - Yanou Cui
- Department of Physics and Astronomy, University of California, Riverside, CA 92521 USA
| | - Huai-Ke Guo
- Department of Physics and Astronomy, University of Utah, Salt Lake City, UT 84112 USA
| | - Vuk Mandic
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455 USA
| | - Alberto Mariotti
- Theoretische Natuurkunde and IIHE/ELEM, Vrije Universiteit Brussel, and International Solvay Institutes, Pleinlaan 2, 1050 Brussels, Belgium
| | - Jose Miguel No
- Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera 13- 15, Campus de Cantoblanco, 28049 Madrid, Spain
| | - Michael J. Ramsey-Musolf
- Tsung Dao Lee Institute/Shanghai Jiao Tong University, Shanghai, 200120 People’s Republic of China
- University of Massachusetts, Amherst, MA 01003 USA
| | | | - Kuver Sinha
- Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019 USA
| | - Lian-Tao Wang
- Department of Physics, University of Chicago, Chicago, IL 60637 USA
| | - Graham White
- Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583 Japan
| | - Yue Zhao
- Department of Physics and Astronomy, University of Utah, Salt Lake City, UT 84112 USA
| | - Haipeng An
- Department of Physics, Tsinghua University, Beijing, 100084 People’s Republic of China
- Center for High Energy Physics, Tsinghua University, Beijing, 100084 People’s Republic of China
- Center for High Energy Physics, Peking University, Beijing, 100871 People’s Republic of China
| | - Ligong Bian
- Center for High Energy Physics, Peking University, Beijing, 100871 People’s Republic of China
- Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, Chongqing, 401331 People’s Republic of China
| | - Chiara Caprini
- Theoretical Physics Department, University of Geneva, 1211 Geneva, Switzerland
- CERN, Theoretical Physics Department, 1 Esplanade des Particules, 1211 Genève 23, Switzerland
| | - Sebastien Clesse
- Service de Physique Théorique (CP225), University of Brussels (ULB), Boulevard du Triomphe, 1050 Brussels, Belgium
| | - James M. Cline
- Department of Physics, McGill University, Montréal, QC H3A2T8 Canada
| | - Giulia Cusin
- Theoretical Physics Department, University of Geneva, 1211 Geneva, Switzerland
- Sorbonne Université, CNRS, UMR 7095, Institut d’Astrophysique de Paris, 75014 Paris, France
| | - Bartosz Fornal
- Department of Chemistry and Physics, Barry University, Miami Shores, FL 33161 USA
| | - Ryusuke Jinno
- Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera 13- 15, Campus de Cantoblanco, 28049 Madrid, Spain
| | - Benoit Laurent
- Department of Physics, McGill University, Montréal, QC H3A2T8 Canada
| | - Noam Levi
- Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv, 69978 Israel
| | - Kun-Feng Lyu
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455 USA
| | - Mario Martinez
- Institut de Física d’Altes Energies, Barcelona Institute of Science and Technology and ICREA, 08193 Barcelona, Spain
| | - Andrew L. Miller
- Université catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
| | - Diego Redigolo
- INFN, Sezione di Firenze Via G. Sansone 1, 50019 Sesto Fiorentino, Italy
| | - Claudia Scarlata
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455 USA
| | - Alexander Sevrin
- Theoretische Natuurkunde and IIHE/ELEM, Vrije Universiteit Brussel, and International Solvay Institutes, Pleinlaan 2, 1050 Brussels, Belgium
| | - Barmak Shams Es Haghi
- Department of Physics and Astronomy, University of Utah, Salt Lake City, UT 84112 USA
| | - Jing Shu
- CAS Key Laboratory of Theoretical Physics, Insitute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190 People’s Republic of China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049 People’s Republic of China
- School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou, 310024 People’s Republic of China
- International Center for Theoretical Physics Asia-Pacific, Beijing, Hanzhou, People’s Republic of China
| | - Xavier Siemens
- Department of Physics, Oregon State University, Corvallis, OR 97331 USA
| | - Danièle A. Steer
- Laboratoire Astroparticule et Cosmologie, CNRS, Université Paris Cité, 75013 Paris, France
| | | | - Carlos Tamarit
- Physik-Department T70, Technische Universität München, James-Franck-Straße, 85748 Garching, Germany
| | - David J. Weir
- Department of Physics and Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 Helsinki, Finland
| | - Ke-Pan Xie
- Department of Physics and Astronomy, University of Nebraska, Lincoln, NE 68588 USA
| | - Feng-Wei Yang
- Department of Physics and Astronomy, University of Utah, Salt Lake City, UT 84112 USA
| | - Siyi Zhou
- Department of Physics, Kobe University, Kobe, 657-8501 Japan
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Abstract
On 11 February 2016, the LIGO and Virgo scientific collaborations announced the first direct detection of gravitational waves, a signal caught by the LIGO interferometers on 14 September 2015, and produced by the coalescence of two stellar-mass black holes. The discovery represented the beginning of an entirely new way to investigate the Universe. The latest gravitational-wave catalog by LIGO, Virgo and KAGRA brings the total number of gravitational-wave events to 90, and the count is expected to significantly increase in the next years, when additional ground-based and space-born interferometers will be operational. From the theoretical point of view, we have only fuzzy ideas about where the detected events came from, and the answers to most of the five Ws and How for the astrophysics of compact binary coalescences are still unknown. In this work, we review our current knowledge and uncertainties on the astrophysical processes behind merging compact-object binaries. Furthermore, we discuss the astrophysical lessons learned through the latest gravitational-wave detections, paying specific attention to the theoretical challenges coming from exceptional events (e.g., GW190521 and GW190814).
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Zhang F. Primordial black holes and scalar induced gravitational waves from the
E
model with a Gauss-Bonnet term. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.105.063539] [Citation(s) in RCA: 4] [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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Barsanti S, De Luca V, Maselli A, Pani P. Detecting Subsolar-Mass Primordial Black Holes in Extreme Mass-Ratio Inspirals with LISA and Einstein Telescope. PHYSICAL REVIEW LETTERS 2022; 128:111104. [PMID: 35363035 DOI: 10.1103/physrevlett.128.111104] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/08/2021] [Revised: 12/14/2021] [Accepted: 02/28/2022] [Indexed: 06/14/2023]
Abstract
Primordial black holes possibly formed in the early Universe could provide a significant fraction of the dark matter and would be unique probes of inflation. A smoking gun for their discovery would be the detection of a subsolar mass compact object. We argue that extreme mass-ratio inspirals will be ideal to search for subsolar-mass black holes not only with LISA but also with third-generation ground-based detectors such as Cosmic Explorer and the Einstein Telescope. These sources can provide unparalleled measurements of the mass of the secondary object at a subpercent level for primordial black holes as light as O(0.01) M_{⊙} up to luminosity distances around hundred megaparsec and few gigaparsec for LISA and Einstein Telescope, respectively, in a complementary frequency range. This would allow claiming, with very high statistical confidence, the detection of a subsolar-mass black hole, which would also provide a novel (and currently undetectable) family of sources for third-generation detectors.
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Affiliation(s)
- Susanna Barsanti
- Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy
- INFN, Sezione di Roma, Piazzale Aldo Moro 2, 00185 Roma, Italy
| | - Valerio De Luca
- Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy
- Département de Physique Théorique and Centre for Astroparticle Physics (CAP), Université de Genève, 24 quai E. Ansermet, CH-1211 Geneva, Switzerland
| | - Andrea Maselli
- Gran Sasso Science Institute (GSSI), I-67100 L'Aquila, Italy
- INFN, Laboratori Nazionali del Gran Sasso, I-67100 Assergi, Italy
| | - Paolo Pani
- Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, 00185 Roma, Italy
- INFN, Sezione di Roma, Piazzale Aldo Moro 2, 00185 Roma, Italy
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Benetti M, Graef LL, Vagnozzi S. Primordial gravitational waves from NANOGrav: A broken power-law approach. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.105.043520] [Citation(s) in RCA: 16] [Impact Index Per Article: 8.0] [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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Liu S, Zhu LG, Hu YM, Zhang JD, Ji MJ. Capability for detection of GW190521-like binary black holes with TianQin. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.105.023019] [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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Carr B, Kohri K, Sendouda Y, Yokoyama J. Constraints on primordial black holes. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2021; 84:116902. [PMID: 34874316 DOI: 10.1088/1361-6633/ac1e31] [Citation(s) in RCA: 17] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/09/2021] [Accepted: 08/17/2021] [Indexed: 06/13/2023]
Abstract
We update the constraints on the fraction of the Universe that may have gone into primordial black holes (PBHs) over the mass range 10-5to 1050 g. Those smaller than ∼1015 g would have evaporated by now due to Hawking radiation, so their abundance at formation is constrained by the effects of evaporated particles on big bang nucleosynthesis, the cosmic microwave background (CMB), the Galactic and extragalacticγ-ray and cosmic ray backgrounds and the possible generation of stable Planck mass relics. PBHs larger than ∼1015 g are subject to a variety of constraints associated with gravitational lensing, dynamical effects, influence on large-scale structure, accretion and gravitational waves. We discuss the constraints on both the initial collapse fraction and the current fraction of the dark matter (DM) in PBHs at each mass scale but stress that many of the constraints are associated with observational or theoretical uncertainties. We also consider indirect constraints associated with the amplitude of the primordial density fluctuations, such as second-order tensor perturbations andμ-distortions arising from the effect of acoustic reheating on the CMB, if PBHs are created from the high-σpeaks of nearly Gaussian fluctuations. Finally we discuss how the constraints are modified if the PBHs have an extended mass function, this being relevant if PBHs provide some combination of the DM, the LIGO/Virgo coalescences and the seeds for cosmic structure. Even if PBHs make a small contribution to the DM, they could play an important cosmological role and provide a unique probe of the early Universe.
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Affiliation(s)
- Bernard Carr
- School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom
- Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
| | - Kazunori Kohri
- Theory Center, IPNS, KEK, Tsukuba, Ibaraki 305-0801, Japan
- The Graduate University for Advanced Studies (SOKENDAI), Tsukuba, Ibaraki 305-0801, Japan
- Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo, Kashiwa, Chiba 277-8568, Japan
| | - Yuuiti Sendouda
- Graduate School of Science and Technology, Hirosaki University, Hirosaki, Aomori 036-8561, Japan
| | - Jun'ichi Yokoyama
- Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
- Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo, Kashiwa, Chiba 277-8568, Japan
- Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
- Trans-Scale Quantum Science Institute, The University of Tokyo, Tokyo 113-0033, Japan
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9
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Nitz AH, Wang YF. Search for Gravitational Waves from the Coalescence of Subsolar-Mass Binaries in the First Half of Advanced LIGO and Virgo's Third Observing Run. PHYSICAL REVIEW LETTERS 2021; 127:151101. [PMID: 34678037 DOI: 10.1103/physrevlett.127.151101] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/2021] [Revised: 07/17/2021] [Accepted: 08/31/2021] [Indexed: 06/13/2023]
Abstract
We present a search for gravitational waves from the coalescence of subsolar-mass black hole binaries using data from the first half of Advanced LIGO and Virgo's third observing run. The observation of a subsolar-mass black hole merger may be an indication of primordial origin; primordial black holes may contribute to the dark matter distribution. We search for black hole mergers where the primary mass is 0.1-7 M_{⊙} and the secondary mass is 0.1-1 M_{⊙}. A variety of models predict the production and coalescence of binaries containing primordial black holes; some involve dynamical assembly, which may allow for residual eccentricity to be observed. For component masses >0.5 M_{⊙}, we also search for sources in eccentric orbits, measured at a reference gravitational-wave frequency of 10 Hz, up to e_{10}∼0.3. We find no convincing candidates and place new upper limits on the rate of primordial black hole mergers. The merger rate of 0.5-0.5 (1.0-1.0) M_{⊙} sources is <7100(1200) Gpc^{-3} yr^{-1}. Our limits are ∼3-4 times more constraining than prior analyses. Finally, we demonstrate how our limits can be used to constrain arbitrary models of the primordial black hole mass distribution and merger rate.
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Affiliation(s)
- Alexander H Nitz
- Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), D-30167 Hannover, Germany and Leibniz Universität Hannover, D-30167 Hannover, Germany
| | - Yi-Fan Wang
- Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), D-30167 Hannover, Germany and Leibniz Universität Hannover, D-30167 Hannover, Germany
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10
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De Luca V, Franciolini G, Riotto A. Constraining the initial primordial black hole clustering with CMB distortion. Int J Clin Exp Med 2021. [DOI: 10.1103/physrevd.104.063526] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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11
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Mass and Rate of Hierarchical Black Hole Mergers in Young, Globular and Nuclear Star Clusters. Symmetry (Basel) 2021. [DOI: 10.3390/sym13091678] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
Hierarchical mergers are one of the distinctive signatures of binary black hole (BBH) formation through dynamical evolution. Here, we present a fast semi-analytic approach to simulate hierarchical mergers in nuclear star clusters (NSCs), globular clusters (GCs) and young star clusters (YSCs). Hierarchical mergers are more common in NSCs than they are in both GCs and YSCs because of the different escape velocity. The mass distribution of hierarchical BBHs strongly depends on the properties of first-generation BBHs, such as their progenitor’s metallicity. In our fiducial model, we form black holes (BHs) with masses up to ∼103 M⊙ in NSCs and up to ∼102 M⊙ in both GCs and YSCs. When escape velocities in excess of 100 km s−1 are considered, BHs with mass >103 M⊙ are allowed to form in NSCs. Hierarchical mergers lead to the formation of BHs in the pair instability mass gap and intermediate-mass BHs, but only in metal-poor environments. The local BBH merger rate in our models ranges from ∼10 to ∼60 Gpc−3 yr−1; hierarchical BBHs in NSCs account for ∼10−2–0.2 Gpc−3 yr−1, with a strong upper limit of ∼10 Gpc−3 yr−1. When comparing our models with the second gravitational-wave transient catalog, we find that multiple formation channels are favored to reproduce the observed BBH population.
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Palmese A, Conselice CJ. GW190521 from the Merger of Ultradwarf Galaxies. PHYSICAL REVIEW LETTERS 2021; 126:181103. [PMID: 34018794 DOI: 10.1103/physrevlett.126.181103] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2020] [Revised: 03/15/2021] [Accepted: 04/05/2021] [Indexed: 06/12/2023]
Abstract
We present an alternative formation scenario for the gravitational wave event GW190521 that can be explained as the merger of central black holes (BHs) from two ultradwarf galaxies of stellar mass ∼10^{5}-10^{6} M_{⊙}, which had themselves previously undergone a merger. The GW190521 components' masses of 85_{-14}^{+21} M_{⊙} and 66_{-18}^{+17} M_{⊙} challenge standard stellar evolution models, as they fall in the so-called mass gap. We demonstrate that the merger history of ultradwarf galaxies at high redshifts (1≲z≲2) matches well the LIGO-Virgo inferred merger rate for BHs within the mass range of the GW190521 components, resulting in a likely time delay of ≲4 Gyr considering the redshift of this event. We further demonstrate that the predicted timescales are consistent with expectations for central BH mergers, although with large uncertainties due to the lack of high-resolution simulations in low-mass dwarf galaxies. Our findings show that this BH production and merging channel is viable and extremely interesting as a new way to explore galaxies' BH seeds and galaxy formation. We recommend this scenario be investigated in detail with simulations and observations.
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Affiliation(s)
- Antonella Palmese
- Fermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510, USA
- Kavli Institute for Cosmological Physics, University of Chicago, Chicago, Illinois 60637, USA
| | - Christopher J Conselice
- Jodrell Bank Centre for Astrophysics, University of Manchester, Oxford Road, Manchester M13 9PY, United Kingdom
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13
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Toubiana A, Sberna L, Caputo A, Cusin G, Marsat S, Jani K, Babak S, Barausse E, Caprini C, Pani P, Sesana A, Tamanini N. Detectable Environmental Effects in GW190521-like Black-Hole Binaries with LISA. PHYSICAL REVIEW LETTERS 2021; 126:101105. [PMID: 33784163 DOI: 10.1103/physrevlett.126.101105] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/13/2020] [Accepted: 02/11/2021] [Indexed: 06/12/2023]
Abstract
GW190521 is the compact binary with the largest masses observed to date, with at least one black hole in the pair-instability gap. This event has also been claimed to be associated with an optical flare observed by the Zwicky Transient Facility in an active galactic nucleus (AGN), possibly due to the postmerger motion of the merger remnant in the AGN gaseous disk. The Laser Interferometer Space Antenna (LISA) may detect up to ten such gas-rich black-hole binaries months to years before their detection by Laser Interferometer Gravitational Wave Observatory or Virgo-like interferometers, localizing them in the sky within ≈1°^{2}. LISA will also measure directly deviations from purely vacuum and stationary waveforms arising from gas accretion, dynamical friction, and orbital motion around the AGN's massive black hole (acceleration, strong lensing, and Doppler modulation). LISA will therefore be crucial to enable us to point electromagnetic telescopes ahead of time toward this novel class of gas-rich sources, to gain direct insight on their physics, and to disentangle environmental effects from corrections to general relativity that may also appear in the waveforms at low frequencies.
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Affiliation(s)
- Alexandre Toubiana
- APC, AstroParticule et Cosmologie, Université de Paris, CNRS, F-75013 Paris, France
- Institut d'Astrophysique de Paris, CNRS and Sorbonne Universités, UMR 7095, 98 bis bd Arago, 75014 Paris, France
| | - Laura Sberna
- Perimeter Institute, 31 Caroline Street N, Ontario, Canada
| | - Andrea Caputo
- Instituto de Fisica Corpuscular, Universidad de Valencia and CSIC, Edificio Institutos Investigacion, Catedratico Jose Beltran 2, Paterna, 46980 Spain
- School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978, Israel
- Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Giulia Cusin
- Université de Genéve, Département de Physique Théorique and Centre for Astroparticle Physics, 24 quai Ernest-Ansermet, CH-1211 Genéve 4, Switzerland
| | - Sylvain Marsat
- APC, AstroParticule et Cosmologie, Université de Paris, CNRS, F-75013 Paris, France
| | - Karan Jani
- Department of Physics and Astronomy, Vanderbilt University, 2301 Vanderbilt Place, Nashville, Tennessee 37235, USA
| | - Stanislav Babak
- APC, AstroParticule et Cosmologie, Université de Paris, CNRS, F-75013 Paris, France
- Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia
| | - Enrico Barausse
- SISSA, Via Bonomea 265, 34136 Trieste, Italy and INFN, Sezione di Trieste
- IFPU-Institute for Fundamental Physics of the Universe, Via Beirut 2, 34014 Trieste, Italy
| | - Chiara Caprini
- APC, AstroParticule et Cosmologie, Université de Paris, CNRS, F-75013 Paris, France
| | - Paolo Pani
- Dipartimento di Fisica, "Sapienza" Università di Roma and Sezione INFN Roma1, Piazzale Aldo Moro 5, 00185, Roma, Italy
| | - Alberto Sesana
- Department of Physics G. Occhialini, University of Milano-Bicocca, Piazza della Scienza 3, 20126 Milano, Italy
- National Institute of Nuclear Physics INFN, Milano-Bicocca, Piazza della Scienza 3, 20126 Milano, Italy
| | - Nicola Tamanini
- Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1,14476 Potsdam-Golm, Germany
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