Revised event rates for extreme and extremely large mass-ratio inspirals

doi:10.1093/mnras/stab3485

	Revised event rates for extreme and extremely large mass-ratio inspirals
	Vazquez-Aceves, Veronica 7; Zwick, Lorenz 6; Bortolas, Elisa 4,5; Capelo, Pedro R.6; Seoane, Pau Amaro 1,3,7,8; Mayer, Lucio 6; Chen, Xian 2,8
刊名	MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
	2022-02-01
卷号	510 期号:2 页码:2379-2390
关键词	black hole physics gravitational waves methods: analytical
ISSN号	0035-8711
DOI	10.1093/mnras/stab3485
英文摘要	One of the main targets of the Laser Interferometer Space Antenna (LISA) is the detection of extreme mass-ratio inspirals (EMRIs) and extremely large mass-ratio inspirals (X-MRIs). Their orbits are expected to be highly eccentric and relativistic when entering the LISA band. Under these circumstances, the inspiral time-scale given by Peters' formula loses precision and the shift of the last-stable orbit (LSO) caused by the massive black hole spin could influence the event rates estimate. We re-derive EMRIs and X-MRIs event rates by implementing two different versions of a Kerr loss-cone angle that includes the shift in the LSO, and a corrected version of Peters' time-scale that accounts for eccentricity evolution, 1.5 post-Newtonian hereditary fluxes, and spin-orbit coupling. The main findings of our study are summarized as follows: (1) implementing a Kerr loss-cone changes the event rates by a factor ranging between 0.9 and 1.1; (2) the high-eccentricity limit of Peters' formula offers a reliable inspiral time-scale for EMRIs and X-MRIs, resulting in an event-rate estimate that deviates by a factor of about 0.9-3 when compared to event rates computed with the corrected version of Peters' time-scale and the usual loss-cone definition. (3) Event-rate estimates for systems with a wide range of eccentricities should be revised. Peters' formula overestimates the inspiral rates of highly eccentric systems by a factor of about 8-30 compared to the corrected values. Besides, for e(0) <= 0.8, implementing the corrected version of Peters' formula is necessary to obtain accurate estimates.
资助项目	CAS-TWAS President's PhD Fellowship Programme of the Chinese Academy of Sciences & The World Academy of Sciences ; Ramon y Cajal Programme of the Ministry of Economy, Industry and Competitiveness of Spain ; Programa Estatal de Generacion de Conocimiento (MCIU/FEDER)[PGC2018096663-B-C43] ; National Key R&D Program of China[2016YFA0400702] ; National Science Foundation of China[11721303] ; National Science Foundation of China[11873022] ; National Science Foundation of China[11991053] ; Swiss National Science Foundation[200020_178949] ; European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program ERC-2018-COG[818691]
WOS研究方向	Astronomy & Astrophysics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000744576900049
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59959]
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Xian
作者单位	1.DESY Zeuthen, D-15738 Zeuthen, Germany 2.Peking Univ, Sch Phys, Dept Astron, Beijing 100871, Peoples R China 3.Univ Politecn Valencia, Inst Multidisciplinary Math, Valencia 46022, Spain 4.Ist Nazl Fis Nucl, Sez Milano Bicocca, Piazza Sci 3, I-20126 Milan, Italy 5.Univ Milano Bicocca, Dipartimento Fis G Occhialini, Piazza Sci 3, I-20126 Milan, Italy 6.Univ Zurich, Ctr Theoret Astrophys & Cosmol, Inst Computat Sci, Winterthurerstr 190, CH-8057 Zurich, Switzerland 7.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 8.Peking Univ, Kavli Inst Astron & Astrophys, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Vazquez-Aceves, Veronica,Zwick, Lorenz,Bortolas, Elisa,et al. Revised event rates for extreme and extremely large mass-ratio inspirals[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2022,510(2):2379-2390.
APA	Vazquez-Aceves, Veronica.,Zwick, Lorenz.,Bortolas, Elisa.,Capelo, Pedro R..,Seoane, Pau Amaro.,...&Chen, Xian.(2022).Revised event rates for extreme and extremely large mass-ratio inspirals.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,510(2),2379-2390.
MLA	Vazquez-Aceves, Veronica,et al."Revised event rates for extreme and extremely large mass-ratio inspirals".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 510.2(2022):2379-2390.