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Autores principales: Shao, Caiying, Guo, Junqi, Tian, Yu, Zhang, Hongbao
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2511.17193
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author Shao, Caiying
Guo, Junqi
Tian, Yu
Zhang, Hongbao
author_facet Shao, Caiying
Guo, Junqi
Tian, Yu
Zhang, Hongbao
contents The emergence of the $r=0$ singularity inside a spherically symmetric charged black hole, is studied numerically within the Einstein-Maxwell-real scalar model. When the scalar field reaches a critical strength, the $r=0$ singularity emerges inside of the black hole at the tip of the causal diamond. By varying the parameter $p$ of the initial profile for the scalar field towards the critical value ${p_*}$, we observe the areal radius at the tip follows a power law scaling, ${r_S } \propto {| {p - {p_*}}|^γ}$, with a universal critical exponent $γ\approx 0.5$. This remarkable discovery, analogous to Choptuik's critical phenomena for the black hole formation, provides the first evidence of the universality and scaling for the emergence of the $r=0$ singularity inside black holes, offering new insights into the nonlinear dynamics of strong gravitational field.
format Preprint
id arxiv_https___arxiv_org_abs_2511_17193
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Emergence of critical phenomena from the black hole interior
Shao, Caiying
Guo, Junqi
Tian, Yu
Zhang, Hongbao
General Relativity and Quantum Cosmology
The emergence of the $r=0$ singularity inside a spherically symmetric charged black hole, is studied numerically within the Einstein-Maxwell-real scalar model. When the scalar field reaches a critical strength, the $r=0$ singularity emerges inside of the black hole at the tip of the causal diamond. By varying the parameter $p$ of the initial profile for the scalar field towards the critical value ${p_*}$, we observe the areal radius at the tip follows a power law scaling, ${r_S } \propto {| {p - {p_*}}|^γ}$, with a universal critical exponent $γ\approx 0.5$. This remarkable discovery, analogous to Choptuik's critical phenomena for the black hole formation, provides the first evidence of the universality and scaling for the emergence of the $r=0$ singularity inside black holes, offering new insights into the nonlinear dynamics of strong gravitational field.
title Emergence of critical phenomena from the black hole interior
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.17193