Towards classifying the interior dynamics of charged black holes with scalar hair

Fuente: arXiv
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Main Authors: Cai, Rong-Gen, Duan, Mei-Ning, Li, Li, Yang, Fu-Guo
Format: Preprint
Published: 2023
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author Cai, Rong-Gen
Duan, Mei-Ning
Li, Li
Yang, Fu-Guo
author_facet Cai, Rong-Gen
Duan, Mei-Ning
Li, Li
Yang, Fu-Guo
contents The study of the interior of hairy black holes has received significant attention recently. This paper builds upon our recent analytical approach to investigate the internal dynamics of charged black holes with scalar hair in general spacetime dimensions. The geometries of these hairy balck holes end at a spacelike singularity. We investigate the alternation of Kasner epoch at later interior times and obtain the analytic expression for two kinds of transformation, namely Kasner inversion and Kasner transition. Moreover, we classify three different types of Kasner alternations for a large class of Einstein-Maxwell-scalar theory. Our analytical results are corroborated by numerical solutions to the full equations of motion, including a top-down model from supergravity. For general interactions, more complicated behaviors beyond our analytical description are also found and discussed, including the presence of non-Kasner epochs and the random change of the amplitude of the Kasner exponent at late interior times.
format Preprint
id arxiv_https___arxiv_org_abs_2312_11131
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Towards classifying the interior dynamics of charged black holes with scalar hair
Cai, Rong-Gen
Duan, Mei-Ning
Li, Li
Yang, Fu-Guo
General Relativity and Quantum Cosmology
High Energy Physics - Theory
The study of the interior of hairy black holes has received significant attention recently. This paper builds upon our recent analytical approach to investigate the internal dynamics of charged black holes with scalar hair in general spacetime dimensions. The geometries of these hairy balck holes end at a spacelike singularity. We investigate the alternation of Kasner epoch at later interior times and obtain the analytic expression for two kinds of transformation, namely Kasner inversion and Kasner transition. Moreover, we classify three different types of Kasner alternations for a large class of Einstein-Maxwell-scalar theory. Our analytical results are corroborated by numerical solutions to the full equations of motion, including a top-down model from supergravity. For general interactions, more complicated behaviors beyond our analytical description are also found and discussed, including the presence of non-Kasner epochs and the random change of the amplitude of the Kasner exponent at late interior times.
title Towards classifying the interior dynamics of charged black holes with scalar hair
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2312.11131