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26 April 2024 |
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Article overview
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Improved gravitational radiation time-scales: significance for LISA and LIGO-Virgo sources | | Lorenz Zwick
; Pedro R. Capelo
; Elisa Bortolas
; Lucio Mayer
; Pau Amaro-Seoane
; | | Date: |
14 Nov 2019 | | Abstract: | We compute a revised version of Peters’ (1964) time-scale for the
gravitational-wave (GW) induced decay of two point masses, by taking into
account post-Newtonian (PN) perturbations of the orbital motion. At first PN
order, the corrected time-scale can be approximated by multiplying Peters’
estimate by the simple factor $Q = 1 + 5 (r_{
m S}/p)$, where $p$ is the
periapsis and $r_{
m S}$ the Schwarzschild radius of the system. We apply the
revised time-scale to a set of typical LIGO-Virgo and LISA sources 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 LISA sources (EMRIs,
IMRIs, and SMBH binaries). We propose the correction factor $Q$ as a simple
analytical prescription to quantify decay time-scales more accurately in future
population synthesis models. | | Source: | arXiv, 1911.6024 | | Services: | Forum | Review | PDF | Favorites | |
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