Parametrized Love numbers of non-rotating black holes
Abstract
A set of tidal Love numbers quantifies tidal deformation of compact objects and is a detectable imprint in gravitational waves from inspiralling binary systems. The measurement of black hole Love numbers allows to test strong-field gravity. In this paper, we present a parametrized formalism to compute the Love numbers of static and spherically symmetric black hole backgrounds, connecting the underlying equations of a given theory with detectable quantities in gravitational-wave observations in a theory-agnostic way. With this formalism, we compute the Love numbers in several systems. We further classify black hole Love numbers according to whether they vanish, are nonzero, or are ``running'' (scale-dependent), in theories or backgrounds that deviate perturbatively from the GR values. The construction relies on static linear perturbations and scattering theory. Our analytic and numerical results are in excellent agreement. As a side result, we show how to use Chandrasekhar's relations to relate basis of even parity to odd parity.
Keywords
Cite
@article{arxiv.2310.19705,
title = {Parametrized Love numbers of non-rotating black holes},
author = {Takuya Katagiri and Tact Ikeda and Vitor Cardoso},
journal= {arXiv preprint arXiv:2310.19705},
year = {2024}
}
Comments
25 pages, 4 figures, v2: minor corrections, accepted for publication in PRD