Parametrized Tidal Dissipation Numbers of Non-rotating Black Holes

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Hauptverfasser: Kobayashi, Hajime, Mukohyama, Shinji, Oshita, Naritaka, Takahashi, Kazufumi, Yingcharoenrat, Vicharit
Format: Preprint
Veröffentlicht: 2025
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author Kobayashi, Hajime
Mukohyama, Shinji
Oshita, Naritaka
Takahashi, Kazufumi
Yingcharoenrat, Vicharit
author_facet Kobayashi, Hajime
Mukohyama, Shinji
Oshita, Naritaka
Takahashi, Kazufumi
Yingcharoenrat, Vicharit
contents A set of tidal dissipation numbers (TDNs) quantifies the absorption of the tidal force exerted by a companion during an inspiralling phase of a binary compact object. This tidal dissipation generally affects the gravitational waveform, and measuring the TDNs of a black hole (BH) allows us to test the nature of gravity in the strong-field regime. In this paper, we develop a parametrized formalism for calculating the TDNs of static and spherically symmetric BH backgrounds using the Mano-Suzuki-Takasugi method, which connects the underlying perturbative equations with observable quantities in gravitational-wave observations in a theory-agnostic manner. Our formalism applies to any system where the master equation has the form of the Regge-Wheeler/Zerilli equation with a small correction to the effective potential. As an application of our formalism, we consider three examples: the effective field theory of BH perturbations with timelike scalar profile, the Einstein-Maxwell system, and a higher-curvature extension of general relativity. We also discuss the absence of logarithmic running for the TDNs.
format Preprint
id arxiv_https___arxiv_org_abs_2505_19725
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Parametrized Tidal Dissipation Numbers of Non-rotating Black Holes
Kobayashi, Hajime
Mukohyama, Shinji
Oshita, Naritaka
Takahashi, Kazufumi
Yingcharoenrat, Vicharit
General Relativity and Quantum Cosmology
High Energy Physics - Theory
A set of tidal dissipation numbers (TDNs) quantifies the absorption of the tidal force exerted by a companion during an inspiralling phase of a binary compact object. This tidal dissipation generally affects the gravitational waveform, and measuring the TDNs of a black hole (BH) allows us to test the nature of gravity in the strong-field regime. In this paper, we develop a parametrized formalism for calculating the TDNs of static and spherically symmetric BH backgrounds using the Mano-Suzuki-Takasugi method, which connects the underlying perturbative equations with observable quantities in gravitational-wave observations in a theory-agnostic manner. Our formalism applies to any system where the master equation has the form of the Regge-Wheeler/Zerilli equation with a small correction to the effective potential. As an application of our formalism, we consider three examples: the effective field theory of BH perturbations with timelike scalar profile, the Einstein-Maxwell system, and a higher-curvature extension of general relativity. We also discuss the absence of logarithmic running for the TDNs.
title Parametrized Tidal Dissipation Numbers of Non-rotating Black Holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2505.19725