https://doi.org/10.1140/epjc/s10052-024-13371-8
Regular Article
Horizon fluxes of binary black holes in eccentric orbits
1
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), 30167, Hannover, Germany
2
Leibniz Universität Hannover, 30167, Hannover, Germany
Received:
28
May
2024
Accepted:
15
September
2024
Published online:
17
October
2024
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 
. 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 
. In the process, we developed a prescription that can be used to compute all physical quantities in a series expansion of initial eccentricity, 
. 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 
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 
. With the computed fluxes we also compute for the first time the leading order dephasing in both cases analytically up to and study its impact. We argue that for high signal-to-noise ratio sources, these contributions require inclusion in the waveform modeling.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
