Why there is no Love in black holes

Fuente: arXiv
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Autore principale: Lupsasca, Alexandru
Natura: Preprint
Pubblicazione: 2025
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author Lupsasca, Alexandru
author_facet Lupsasca, Alexandru
contents This paper presents a new conformal symmetry of stationary, axisymmetric Kerr perturbations. This symmetry is exact but non-geometric (or "hidden"), and each of its generators has an associated infinite family of eigenstate solutions. Tidal perturbations of a black hole form an irreducible highest-weight representation of this conformal group, while the tidal response fields live in a different such representation. This implies that black holes have no tidal deformability, or vanishing Love numbers.
format Preprint
id arxiv_https___arxiv_org_abs_2506_05298
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Why there is no Love in black holes
Lupsasca, Alexandru
General Relativity and Quantum Cosmology
High Energy Physics - Theory
This paper presents a new conformal symmetry of stationary, axisymmetric Kerr perturbations. This symmetry is exact but non-geometric (or "hidden"), and each of its generators has an associated infinite family of eigenstate solutions. Tidal perturbations of a black hole form an irreducible highest-weight representation of this conformal group, while the tidal response fields live in a different such representation. This implies that black holes have no tidal deformability, or vanishing Love numbers.
title Why there is no Love in black holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2506.05298