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Improved gravitational radiation time-scales: significance for LISA and LIGO-Virgo sources
Zwick, Lorenz1,2; Capelo, Pedro R.1; Bortolas, Elisa1; Mayer, Lucio1; Amaro-Seoane, Pau3,4,5,6,7
2020-06-01
Source PublicationMONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
ISSN0035-8711
Volume495Issue:2Pages:2321-2331
AbstractWe present a revised version of Peters' time-scale for the gravitational wave (GW)-induced decay of two point masses. The new formula includes the effects of the first-order post-Newtonian perturbation and additionally provides a simple fit to account for the Newtonian self-consistent evolution of the eccentricity. The revised time-scale is found by multiplying Peters' estimate by two factors, R(e(0)) = 8(1-root 1-e0) and Q(f)(p(0)) = exp (2.5(r(S)/p(0))), where e(0) and p(0) are the initial eccentricity and periapsis, respectively, and r(S) the Schwarzschild radius of the system. Their use can correct errors of a factor of 1-10 that arise from using the original Peters' formula. We apply the revised time-scales to a set of typical sources for existing ground-based laser interferometers and for the future Laser Interferometer Space Antenna (LISA), at the onset of their GW-driven decay. We argue that our more accurate model for the orbital evolution will affect current event- and detection-rate estimates for mergers of compact object binaries, with stronger deviations for eccentric LISA sources, such as extreme and intermediate mass-ratio inspirals. We propose the correction factors R and Q(f) as a simple prescription to quantify decay time-scales more accurately in future population synthesis models. We also suggest that the corrected time-scale may be used as a computationally efficient alternative to numerical integration in other applications that include the modelling of radiation reaction for eccentric sources.
Keywordblack hole physics gravitational waves methods: analytical
DOI10.1093/mnras/staa1314
Indexed BySCI
Language英语
Funding ProjectSwiss National Science Foundation[200020_178949] ; Ramon y Cajal Programme of the Ministry of Economy, Industry and Competitiveness of Spain ; COST Action GWverse[CA16104] ; National Key R&D Program of China[2016YFA0400702] ; National Science Foundation of China[11721303]
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000543015800056
PublisherOXFORD UNIV PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51775
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZwick, Lorenz
Affiliation1.Univ Zurich, Ctr Theoret Astrophys & Cosmol, Inst Computat Sci, Winterthurerstr 190, CH-8057 Zurich, Switzerland
2.Swiss Fed Inst Technol, Dept Phys, Otto Stern Weg 1, CH-8093 Zurich, Switzerland
3.CSIC, Inst Space Sci, ICE, Campus UAB,Catrer Can Magrans S-N, E-08193 Barcelona, Spain
4.Inst Estudis Espacials Catalunya IEEC, Campus UAB,Catrer Can Magrans S-N, E-08193 Barcelona, Spain
5.Peking Univ, Kavli Inst Astron & Astrophys, Beijing 100871, Peoples R China
6.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
7.TU Berlin, Zentrum Astron & Astrophys, Hardenbergstr 36, D-10623 Berlin, Germany
Recommended Citation
GB/T 7714
Zwick, Lorenz,Capelo, Pedro R.,Bortolas, Elisa,et al. Improved gravitational radiation time-scales: significance for LISA and LIGO-Virgo sources[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2020,495(2):2321-2331.
APA Zwick, Lorenz,Capelo, Pedro R.,Bortolas, Elisa,Mayer, Lucio,&Amaro-Seoane, Pau.(2020).Improved gravitational radiation time-scales: significance for LISA and LIGO-Virgo sources.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,495(2),2321-2331.
MLA Zwick, Lorenz,et al."Improved gravitational radiation time-scales: significance for LISA and LIGO-Virgo sources".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 495.2(2020):2321-2331.
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