Abstract
The nature of black holes is one of the most exciting issues in gravitational physics. If there is an exotic compact object as compact as a black hole but without a horizon, gravitational wave echoes may be produced after the merger. In this work, we show that for extreme-mass-ratio binaries, even during the inspiraling phase of compact binary coalescence, the existence of the hard surface of the exotic compact object will produce detectable signals on the gravitational waves. We predict that once the LIGO-Virgo-KAGRA, Einstein Telescope, or Cosmic Explorer detect such kinds of sources, our model shows that one can constrain the properties of surfaces of the compact objects in inspiraling stage better than the current level.
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The data underlying this article will be shared on reasonable request to the corresponding author Wen-Biao Han.
References
B.P. Abbott et al., GWTC-1: A gravitational-wave transient catalog of compact binary mergers observed by LIGO and Virgo during the first and second observing runs. Phys. Rev. X 9(3), 031040 (2019)
N.V. Krishnendu, K.G. Arun, C.K. Mishra, Testing the binary black hole nature of a compact binary coalescence. Phys. Rev. Lett. 119(9), 091101 (2017)
R. Abbott, et al., Tests of General Relativity with GWTC-3. arXiv e-prints arXiv:2112.06861 (2021)
R. Carballo-Rubio, F. Di Filippo, S. Liberati, M. Visser, Phenomenological aspects of black holes beyond general relativity. Phys. Rev. D 98(12), 124009 (2018)
V. Cardoso, P. Pani, Testing the nature of dark compact objects: a status report. Living Rev. Relat. 22(1), 4 (2019)
V. Cardoso, P. Pani, Tests for the existence of black holes through gravitational wave echoes. Nat. Astro. 1, 586–591 (2017)
Z. Mark, A. Zimmerman, S.M. Du, Y. Chen, A recipe for echoes from exotic compact objects. Phys. Rev. D 96(8), 084002 (2017)
S.M. Du, Y. Chen, Searching for near-horizon quantum structures in the binary black-hole stochastic gravitational-wave background. Phys. Rev. Lett. 121(5), 051105 (2018)
B. Chen, Y. Chen, Y. Ma, K.L.R. Lo, L. Sun, Instability of exotic compact objects and its implications for gravitational-wave echoes. arXiv e-prints arXiv:1902.08180 (2019)
S. Xin, B. Chen, R.K.L. Lo, L. Sun, W.B. Han, X. Zhong, M. Srivastava, S. Ma, Q. Wang, Y. Chen, Gravitational-wave echoes from spinning exotic compact objects: numerical waveforms from the Teukolsky equation. Phys. Rev. D 104(10), 104005 (2021)
A. Maselli, S.H. Völkel, K.D. Kokkotas, Parameter estimation of gravitational wave echoes from exotic compact objects. Phys. Rev. D 96(6), 064045 (2017)
K.W. Tsang, M. Rollier, A. Ghosh, A. Samajdar, M. Agathos, K. Chatziioannou, V. Cardoso, G. Khanna, C. Van Den Broeck, A morphology-independent data analysis method for detecting and characterizing gravitational wave echoes. Phys. Rev. D 98(2), 024023 (2018)
A.B. Nielsen, C.D. Capano, O. Birnholtz, J. Westerweck, Parameter estimation and statistical significance of echoes following black hole signals in the first Advanced LIGO observing run. Phys. Rev. D 99(10), 104012 (2019)
R.K.L. Lo, T.G.F. Li, A.J. Weinstein, Template-based gravitational-wave echoes search using Bayesian model selection. Phys. Rev. D 99(8), 084052 (2019)
N. Uchikata, H. Nakano, T. Narikawa, N. Sago, H. Tagoshi, T. Tanaka, Searching for black hole echoes from the LIGO-Virgo catalog GWTC-1. Phys. Rev. D 100(6), 062006 (2019)
S. Datta, R. Brito, S. Bose, P. Pani, S.A. Hughes, Tidal heating as a discriminator for horizons in extreme mass ratio inspirals. Phys. Rev. D 101, 044004 (2020)
R. Abbott, et al., GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run. arXiv e-prints arXiv:2111.03606 (2021)
S.A. Teukolsky, Perturbations of a rotating black hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations. ApJ, 185, 635–648 (1973)
S. Bernuzzi, A. Nagar, Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis. Phys. Rev. D 81(8), 084056 (2010)
W.B. Han, Z. Cao, Constructing effective one-body dynamics with numerical energy flux for intermediate-mass-ratio inspirals. Phys. Rev. D 84(4), 044014 (2011)
M. Sasaki, T. Nakamura, Gravitational radiation from a Kerr Black Hole. I Formulation and a Method for Numerical Analysis. Progress of Theoretical Physics 67(6), 1788–1809 (1982)
S.A. Hughes, Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission. Phys. Rev. D 61(8), 084004 (2000)
Y. Mino, M. Sasaki, M. Shibata, H. Tagoshi, T. Tanaka, Chapter 1 Black hole perturbation. Prog. Theor. Phys. Suppl. 128, 1–121 (1997)
P.M. Sá, A.B. Henriques, Parametric resonance and cosmological gravitational waves. Phys. Rev. D 77(6), 064002 (2008)
C. Cutler, É.E. Flanagan, Gravitational waves from merging compact binaries: How accurately can one extract the binary’s parameters from the inspiral waveform? Phys. Rev. D 49(6), 2658–2697 (1994)
S. Babak, J. Gair, A. Sesana, E. Barausse, C.F. Sopuerta, C.P.L. Berry, E. Berti, P. Amaro-Seoane, A. Petiteau, A. Klein, Science with the space-based interferometer LISA. V. Extreme mass-ratio inspirals. Phys. Rev. D 95(10), 103012 (2017)
J. Abedi, H. Dykaar, N. Afshordi, Echoes from the abyss: tentative evidence for Planck-scale structure at black hole horizons. Phys. Rev. D 96(8), 082004 (2017)
G. Ashton, O. Birnholtz, M. Cabero, C. Capano, T. Dent, B. Krishnan, G.D. Meadors, A.B. Nielsen, A. Nitz, J. Westerweck, Comments on: “Echoes from the abyss: Evidence for Planck-scale structure at black hole horizons”. arXiv e-prints arXiv:1612.05625 (2016)
J. Abedi, H. Dykaar, N. Afshordi, Echoes from the Abyss: The Holiday Edition! arXiv e-prints arXiv:1701.03485 (2017)
J. Westerweck, A.B. Nielsen, O. Fischer-Birnholtz, M. Cabero, C. Capano, T. Dent, B. Krishnan, G. Meadors, A.H. Nitz, Low significance of evidence for black hole echoes in gravitational wave data. Phys. Rev. D 97(12), 124037 (2018)
R.S. Conklin, B. Holdom, J. Ren, Gravitational wave echoes through new windows. Phys. Rev. D 98(4), 044021 (2018)
Acknowledgements
This work is supported by The National Key R &D Program of China (No. 2021YFC2203002), NSFC No. 11773059 and No. 12173071, and the Strategic Priority Research Program of the CAS under Grants No. XDA15021102. W. H. is supported by CAS Project for Young Scientists in Basic Research YSBR-006. We thank Yanbei Chen, Shuo Xin, and Ling Sun for very useful discussions.
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Zhong, XY., Han, WB., Jiang, Y. et al. Detecting properties of echoes from the inspiraling stage with ground-based detectors. Eur. Phys. J. Plus 138, 761 (2023). https://doi.org/10.1140/epjp/s13360-023-04398-z
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DOI: https://doi.org/10.1140/epjp/s13360-023-04398-z