Non-vanishing non-linear Static Love Number of a Class of Extremal Reissner-Nordstrom Black Holes

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Auteurs principaux: Gounis, L. R., Kehagias, A., Panagopoulos, G., Riotto, A.
Format: Preprint
Publié: 2025
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author Gounis, L. R.
Kehagias, A.
Panagopoulos, G.
Riotto, A.
author_facet Gounis, L. R.
Kehagias, A.
Panagopoulos, G.
Riotto, A.
contents We compute the tidal Love numbers for a particular axially symmetric configuration of extremal Reissner-Nordstrom geometry. By exactly solving the non-linear Einstein equations, we investigate the tidal response of extremal Reissner-Nordstrom black holes in four-dimensional spacetimes under external gravitational fields. We show that, for the specific geometry considered, the static tidal Love number remains finite and non-vanishing to all orders in the external tidal field. By contrast, we verify that the Love number of an isolated extremal Reissner-Nordstrom black hole remains zero, in agreement with previous expectations. Furthermore, we explicitly calculate the Zerilli-Moncrief master functions and match them with the effective field theory description.
format Preprint
id arxiv_https___arxiv_org_abs_2512_02506
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-vanishing non-linear Static Love Number of a Class of Extremal Reissner-Nordstrom Black Holes
Gounis, L. R.
Kehagias, A.
Panagopoulos, G.
Riotto, A.
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
We compute the tidal Love numbers for a particular axially symmetric configuration of extremal Reissner-Nordstrom geometry. By exactly solving the non-linear Einstein equations, we investigate the tidal response of extremal Reissner-Nordstrom black holes in four-dimensional spacetimes under external gravitational fields. We show that, for the specific geometry considered, the static tidal Love number remains finite and non-vanishing to all orders in the external tidal field. By contrast, we verify that the Love number of an isolated extremal Reissner-Nordstrom black hole remains zero, in agreement with previous expectations. Furthermore, we explicitly calculate the Zerilli-Moncrief master functions and match them with the effective field theory description.
title Non-vanishing non-linear Static Love Number of a Class of Extremal Reissner-Nordstrom Black Holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2512.02506