Black Holes in a Gravitational Field: The Non-linear Static Love Number of Schwarzschild Black Holes Vanishes

Fuente: arXiv
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Autori principali: Kehagias, Alex, Riotto, Antonio
Natura: Preprint
Pubblicazione: 2024
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author Kehagias, Alex
Riotto, Antonio
author_facet Kehagias, Alex
Riotto, Antonio
contents We show that the static tidal Love number of Schwarzschild black holes in four dimensions and in the vacuum vanishes at any order in the external tidal force. We also identify the underlying non-linear symmetry which is responsible for this result and becomes manifest when the black hole metric is written in axsymmetric static Weyl coordinates.
format Preprint
id arxiv_https___arxiv_org_abs_2410_11014
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Black Holes in a Gravitational Field: The Non-linear Static Love Number of Schwarzschild Black Holes Vanishes
Kehagias, Alex
Riotto, Antonio
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
We show that the static tidal Love number of Schwarzschild black holes in four dimensions and in the vacuum vanishes at any order in the external tidal force. We also identify the underlying non-linear symmetry which is responsible for this result and becomes manifest when the black hole metric is written in axsymmetric static Weyl coordinates.
title Black Holes in a Gravitational Field: The Non-linear Static Love Number of Schwarzschild Black Holes Vanishes
topic General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2410.11014