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Adiabatic Waveforms from Extreme-Mass-Ratio Inspirals: An Analytical Approach

Isoyama, Soichiro and Fujita, Ryuichi and Chua, Alvin J. K. and Nakano, Hiroyuki and Pound, Adam and Sago, Norichika (2022) Adiabatic Waveforms from Extreme-Mass-Ratio Inspirals: An Analytical Approach. Physical Review Letters, 128 (23). Art. No. 231101. ISSN 0031-9007. doi:10.1103/physrevlett.128.231101.

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Scientific analysis for the gravitational wave detector LISA will require theoretical waveforms from extreme-mass-ratio inspirals (EMRIs) that extensively cover all possible orbital and spin configurations around astrophysical Kerr black holes. However, on-the-fly calculations of these waveforms have not yet overcome the high dimensionality of the parameter space. To confront this challenge, we present a user-ready EMRI waveform model for generic (eccentric and inclined) orbits in Kerr spacetime, using an analytical self-force approach. Our model accurately covers all EMRIs with arbitrary inclination and black hole spin, up to modest eccentricity (≲ 0.3) and separation (≳ 2–10 M from the last stable orbit). In that regime, our waveforms are accurate at the leading “adiabatic” order, and they approximately capture transient self-force resonances that significantly impact the gravitational wave phase. The model fills an urgent need for extensive waveforms in ongoing data-analysis studies, and its individual components will continue to be useful in future science-adequate waveforms.

Item Type:Article
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URLURL TypeDescription Paper Information
Isoyama, Soichiro0000-0001-6247-2642
Fujita, Ryuichi0000-0002-8415-8168
Chua, Alvin J. K.0000-0001-5242-8269
Nakano, Hiroyuki0000-0001-7665-0796
Pound, Adam0000-0001-9446-0638
Sago, Norichika0000-0002-1430-5652
Additional Information:© 2022 American Physical Society. (Received 24 November 2021; accepted 6 May 2022; published 10 June 2022) We thank Wataru Hikida and Hideyuki Tagoshi for their direct contributions to an earlier version of this manuscript, Scott A. Hughes for helpful discussions on initial phases and comments on the Supplemental Material, Maarten van de Meent for providing independent numerical data to verify BHPC’s Teukolsky results, Leor Barack and Chulmoon Yoo for valuable discussions and comments on the manuscript, and Katsuhiko Ganz, Chris Kavanagh, Koutarou Kyutoku, Yasushi Mino, Takashi Nakamura, Misao Sasaki, Masaru Shibata, and Niels Warburton for very helpful discussions. S. I. is especially grateful to Eric Poisson, Riccardo Sturani, and Takahiro Tanaka for their continuous encouragement and insightful discussion about the (adiabatic) evolution scheme for EMRI dynamics. Finally, we thank all the past and present members of the annual Capra meetings with whom we have discussed the techniques and results presented here (over the past decades). S. I. acknowledges support from STFC through Grant No. ST/R00045X/1, the GWverse COST Action CA16104, “Black holes, gravitational waves and fundamental physic,” and the additional financial support of Ministry of Education—MEC during his stay at IIP-Natal-Brazil. A. J. K. C. acknowledges support from the NASA Grants No. 18-LPS18-0027 and 20-LPS20-0005, and from the NSF Grant No. PHY-2011968. A. P. acknowledges the support of a Royal Society University Research Fellowship, Research Grant for Research Fellows, Enhancement Awards, and Exchange Grant. This work was supported in part by JSPS/MEXT KAKENHI Grants No. JP16H02183 (R. F.), JP18H04583 (R. F.), JP21H01082 (R. F., H. N., and N. S.), JP17H06358 (H. N. and N. S.), and JP21K03582 (H. N.).
Funding AgencyGrant Number
Science and Technology Facilities Council (STFC)ST/R00045X/1
European Cooperation in Science and Technology (COST)CA16104
Ministério da EducaçãoUNSPECIFIED
Japan Society for the Promotion of Science (JSPS)JP16H02183
Japan Society for the Promotion of Science (JSPS)JP18H04583
Japan Society for the Promotion of Science (JSPS)JP21H01082
Japan Society for the Promotion of Science (JSPS)JP17H06358
Japan Society for the Promotion of Science (JSPS)JP21K03582
Issue or Number:23
Record Number:CaltechAUTHORS:20220614-603125000
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115166
Deposited By: George Porter
Deposited On:15 Jun 2022 16:53
Last Modified:15 Jun 2022 16:53

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