Horizon fluxes of binary black holes in eccentric orbits

authored by: Sayak Datta
Abstract: We compute the rate of change of mass and angular momentum of a black hole, namely tidal heating, in an eccentric orbit. The change is caused due to the tidal field of the orbiting companion. We compute the result for both the spinning and non-spinning black holes in the leading order of the mean motion, namely ξ. We demonstrate that the rates get enhanced significantly for nonzero eccentricity. Since eccentricity in a binary evolves with time we also express the results in terms of an initial eccentricity and azimuthal frequency ξ_ϕ. In the process, we developed a prescription that can be used to compute all physical quantities in a series expansion of initial eccentricity, e₀. These results are computed taking account of the spin of the binary components. The prescription can be used to compute very high-order corrections of initial eccentricity. We use it to find the contribution to eccentricity up to O(e₀⁵) in the spinning binary. Using the computed expression of eccentricity, we derived the rate of change of mass and angular momentum of a black hole, both rotating and non-rotating, in terms of initial eccentricity and azimuthal frequency up to O(e₀⁶). With the computed fluxes we also compute for the first time the leading order dephasing in both cases analytically up to O(e₀⁶) and study its impact. We argue that for high signal-to-noise ratio sources, these contributions require inclusion in the waveform modeling.
Organisation(s): Institute of Gravitation Physics
External Organisation(s): Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Type: Article
Journal: European Physical Journal C
Volume: 84
No. of pages: 15
ISSN: 1434-6044
Publication date: 17.10.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Engineering (miscellaneous), Physics and Astronomy (miscellaneous)
Electronic version(s): https://doi.org/10.1140/epjc/s10052-024-13371-8 (Access: Open)

BibTeX

@article{3ed352c21914456a8a0272577f28f22c,
title = "Horizon fluxes of binary black holes in eccentric orbits",
abstract = "We compute the rate of change of mass and angular momentum of a black hole, namely tidal heating, in an eccentric orbit. The change is caused due to the tidal field of the orbiting companion. We compute the result for both the spinning and non-spinning black holes in the leading order of the mean motion, namely ξ. We demonstrate that the rates get enhanced significantly for nonzero eccentricity. Since eccentricity in a binary evolves with time we also express the results in terms of an initial eccentricity and azimuthal frequency ξϕ. In the process, we developed a prescription that can be used to compute all physical quantities in a series expansion of initial eccentricity, e0. These results are computed taking account of the spin of the binary components. The prescription can be used to compute very high-order corrections of initial eccentricity. We use it to find the contribution to eccentricity up to O(e05) in the spinning binary. Using the computed expression of eccentricity, we derived the rate of change of mass and angular momentum of a black hole, both rotating and non-rotating, in terms of initial eccentricity and azimuthal frequency up to O(e06). With the computed fluxes we also compute for the first time the leading order dephasing in both cases analytically up to O(e06) and study its impact. We argue that for high signal-to-noise ratio sources, these contributions require inclusion in the waveform modeling.",
author = "Sayak Datta",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",
year = "2024",
month = oct,
day = "17",
doi = "10.1140/epjc/s10052-024-13371-8",
language = "English",
volume = "84",
journal = "European Physical Journal C",
issn = "1434-6044",
publisher = "Springer New York",
number = "10",
}