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Gravitational-wave echoes from spinning exotic compact objects: Numerical waveforms from the Teukolsky equation

Xin, Shuo and Chen, Baoyi and Lo, Rico K. L. and Sun, Ling and Han, Wen-Biao and Zhong, Xingyu and Srivastava, Manu and Ma, Sizheng and Wang, Qingwen and Chen, Yanbei (2021) Gravitational-wave echoes from spinning exotic compact objects: Numerical waveforms from the Teukolsky equation. Physical Review D, 104 (10). Art. No. 104005. ISSN 2470-0010. doi:10.1103/physrevd.104.104005.

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We present numerical waveforms of gravitational-wave echoes from spinning exotic compact objects (ECOs) that result from binary black hole coalescence. We obtain these echoes by solving the Teukolsky equation for the ψ₄ associated with gravitational waves that propagate toward the horizon of a Kerr spacetime, and process the subsequent reflections of the horizon-going wave by the surface of the ECO, which lies right above the Kerr horizon. The trajectories of the infalling objects are modified from Kerr geodesics, such that the gravitational waves propagating toward future null infinity match those from merging black holes with comparable masses. In this way, the corresponding echoes can be used to approximate to those from nonspinning comparable-mass mergers. For boundary conditions at the ECO surface, we adopt recent work using the membrane paradigm, which relates ψ₀ associated with the horizon-going wave and ψ₄ of the wave that leaves the ECO surface. We obtain ψ₀ of the horizon-going wave from ψ₄ using the Teukolsky-Starobinsky relation. The echoes we obtain turn out to be significantly weaker than those from previous studies that generate echo waveforms by modeling the ringdown part of binary black hole coalescence waveforms as originating from the past horizon.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Chen, Baoyi0000-0002-3927-6843
Lo, Rico K. L.0000-0003-1561-6716
Sun, Ling0000-0001-7959-892X
Han, Wen-Biao0000-0002-2039-0726
Srivastava, Manu0000-0002-3831-6997
Ma, Sizheng0000-0002-4645-453X
Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2021 American Physical Society. 0 Received 26 May 2021; accepted 3 October 2021; published 1 November 2021. Research of B. C. and Y. C. are supported by the Simons Foundation (Grant No. 568762), the Brinson Foundation, and the National Science Foundation (Grants No. PHY–2011968, No. PHY–2011961, and No. PHY–1836809). Research of S. X. and Q. W. was done in part during their visits to the California Institute of Technology, which was supported by funds from the Simons Foundation. R. K. L. L. and L. S. acknowledge support of the National Science Foundation and the LIGO Laboratory. LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the United States National Science Foundation, and operates under cooperative agreement No. PHY–1764464. Advanced LIGO was built under award No. PHY–0823459. R. K. L. L. would also like to acknowledge support from the Croucher Foundation. L. S. also acknowledges the support of the Australian Research Council Centre of Excellence for GW Discovery (OzGrav), project number CE170100004. W. H. is supported by CAS Project for Young Scientists in Basic Research YSBR-006, NSFC (National Natural Science Foundation of China) No. 11773059 and No. 12173071. The computations presented here were conducted on the Caltech High Performance Cluster partially supported by a grant from the Gordon and Betty Moore Foundation.
Group:LIGO, TAPIR, Walter Burke Institute for Theoretical Physics, Astronomy Department
Funding AgencyGrant Number
Simons Foundation568762
Brinson FoundationUNSPECIFIED
Croucher FoundationUNSPECIFIED
Australian Research CouncilCE170100004
Chinese Academy of SciencesYSBR-006
National Natural Science Foundation of China11773059
National Natural Science Foundation of China12173071
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:20211117-164912749
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111917
Deposited By: Tony Diaz
Deposited On:17 Nov 2021 17:11
Last Modified:17 Nov 2021 17:11

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