Eccentric features in the gravitational wave phase of dynamically formed black hole binaries

Fuente: arXiv
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Autores principales: Hendriks, Kai, Zwick, Lorenz, Samsing, Johan
Formato: Preprint
Publicado: 2024
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author Hendriks, Kai
Zwick, Lorenz
Samsing, Johan
author_facet Hendriks, Kai
Zwick, Lorenz
Samsing, Johan
contents We study the gravitational wave (GW) phase shift arising from center-of-mass accelerations of binary black hole mergers formed dynamically in three-body systems, where both the inner orbit of the merging binary and the outer orbit are eccentric. We provide a semi-analytical model and several analytical approximations that allow for fast evaluation of both the temporal evolution and the maximum value of the phase shift. The highest phase shifts occur when the binary merges close to the pericentre of the outer orbit, and can in this case be orders-of-magnitude larger compared to the circular limit. At high outer orbit eccentricities, the orbital curvature leaves distinct imprints onto the phase shift if the binary passes the outer pericentre during its inspiral. By comparing with phase shifts measured in numerical chaotic 3-body scatterings, we show that our model accurately describes the observed phase of dynamically assembled binary systems in realistic astrophysical scenarios, providing a way to directly determine their formation channel via single GW observations.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04603
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Eccentric features in the gravitational wave phase of dynamically formed black hole binaries
Hendriks, Kai
Zwick, Lorenz
Samsing, Johan
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
We study the gravitational wave (GW) phase shift arising from center-of-mass accelerations of binary black hole mergers formed dynamically in three-body systems, where both the inner orbit of the merging binary and the outer orbit are eccentric. We provide a semi-analytical model and several analytical approximations that allow for fast evaluation of both the temporal evolution and the maximum value of the phase shift. The highest phase shifts occur when the binary merges close to the pericentre of the outer orbit, and can in this case be orders-of-magnitude larger compared to the circular limit. At high outer orbit eccentricities, the orbital curvature leaves distinct imprints onto the phase shift if the binary passes the outer pericentre during its inspiral. By comparing with phase shifts measured in numerical chaotic 3-body scatterings, we show that our model accurately describes the observed phase of dynamically assembled binary systems in realistic astrophysical scenarios, providing a way to directly determine their formation channel via single GW observations.
title Eccentric features in the gravitational wave phase of dynamically formed black hole binaries
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2408.04603