KMS Of Academy of mathematics and systems sciences, CAS
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 Publication | MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY |
ISSN | 0035-8711 |
Volume | 495Issue:2Pages:2321-2331 |
Abstract | We 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. |
Keyword | black hole physics gravitational waves methods: analytical |
DOI | 10.1093/mnras/staa1314 |
Indexed By | SCI |
Language | 英语 |
Funding Project | Swiss 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 Area | Astronomy & Astrophysics |
WOS Subject | Astronomy & Astrophysics |
WOS ID | WOS:000543015800056 |
Publisher | OXFORD UNIV PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51775 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zwick, Lorenz |
Affiliation | 1.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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