Improved gravitational radiation time-scales II: Spin-orbit contributions and environmental perturbations
Zwick, Lorenz1; Capelo, Pedro R.1; Bortolas, Elisa1,2; Vazquez-Aceves, Veronica3; Mayer, Lucio1; Amaro-Seoane, Pau3,4,5,6,7
AbstractPeters' formula is an analytical estimate of the time-scale of gravitational wave (GW)-induced coalescence of binary systems. It is used in countless applications, where the convenience of a simple formula outweighs the need for precision. However, many promising sources of the Laser Interferometer Space Antenna (LISA), such as supermassive black hole binaries and extreme mass-ratio inspirals (EMRIs), are expected to enter the LISA band with highly eccentric (e greater than or similar to 0.9) and highly relativistic orbits. These are exactly the two limits in which Peters' estimate performs the worst. In this work, we expand upon previous results and give simple analytical fits to quantify how the inspiral time-scale is affected by the relative 1.5 post-Newtonian (PN) hereditary fluxes and spin-orbit couplings. We discuss several cases that demand a more accurate GW time-scale. We show how this can have a major influence on quantities that are relevant for LISA event-rate estimates, such as the EMRI critical semimajor axis. We further discuss two types of environmental perturbations that can play a role in the inspiral phase: the gravitational interaction with a third massive body and the energy loss due to dynamical friction and torques from a surrounding gas medium ubiquitous in galactic nuclei. With the aid of PN corrections to the time-scale in vacuum, we find simple analytical expressions for the regions of phase space in which environmental perturbations are of comparable strength to the effects of any particular PN order, being able to qualitatively reproduce the results of much more sophisticated analyses.
Keywordblack hole physics gravitational waves methods: analytical
Indexed BySCI
Funding ProjectSwiss National Science Foundation[200020_178949] ; European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program ERC-2018-COG[818691] ; 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:000703918800066
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Document Type期刊论文
Corresponding AuthorZwick, Lorenz
Affiliation1.Univ Zurich, Ctr Theoret Astrophys & Cosmol, Inst Computat Sci, Winterthurerstr 190, CH-8057 Zurich, Switzerland
2.Univ Milano Bicocca, Dipartimento Fis G Occhialini, Piazza Sci 3, I-20126 Milan, Italy
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
4.Univ Politecn Valencia, IGIC, Cami Vera S-N, Valencia 46022, Spain
5.Deutsch Elektronen Synchrotron DESY, Platanenallee 6, D-15738 Zeuthen, Germany
6.Peking Univ, Kavli Inst Astron & Astrophys, Beijing 100871, Peoples R China
7.TU Berlin, Zentrum Astron & Astrophys, Hardenbergstr 36, D-10623 BER Berlin, Germany
Recommended Citation
GB/T 7714
Zwick, Lorenz,Capelo, Pedro R.,Bortolas, Elisa,et al. Improved gravitational radiation time-scales II: Spin-orbit contributions and environmental perturbations[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2021,506(1):1007-1018.
APA Zwick, Lorenz,Capelo, Pedro R.,Bortolas, Elisa,Vazquez-Aceves, Veronica,Mayer, Lucio,&Amaro-Seoane, Pau.(2021).Improved gravitational radiation time-scales II: Spin-orbit contributions and environmental perturbations.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,506(1),1007-1018.
MLA Zwick, Lorenz,et al."Improved gravitational radiation time-scales II: Spin-orbit contributions and environmental perturbations".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 506.1(2021):1007-1018.
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