Nonlinear Stability of Black Holes with a Stable Light Ring

Fuente: arXiv
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Main Authors: Guo, Guangzhou, Wang, Peng, Zhang, Yupeng
Format: Preprint
Published: 2024
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author Guo, Guangzhou
Wang, Peng
Zhang, Yupeng
author_facet Guo, Guangzhou
Wang, Peng
Zhang, Yupeng
contents Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as alternatives to black holes. In this work, we investigate the presence of the light-ring instability in scalarized Reissner-Nordström black holes, which have been previously shown to admit stable light rings. We employ fully nonlinear numerical evolutions of both scalarized black holes with and without stable light rings, perturbing them initially with spherically symmetric scalar perturbations. Our simulations demonstrate the long-term stability of these scalarized black holes, suggesting that the presence of a stable light ring may not necessarily induce the light-ring instability.
format Preprint
id arxiv_https___arxiv_org_abs_2403_02089
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nonlinear Stability of Black Holes with a Stable Light Ring
Guo, Guangzhou
Wang, Peng
Zhang, Yupeng
General Relativity and Quantum Cosmology
Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as alternatives to black holes. In this work, we investigate the presence of the light-ring instability in scalarized Reissner-Nordström black holes, which have been previously shown to admit stable light rings. We employ fully nonlinear numerical evolutions of both scalarized black holes with and without stable light rings, perturbing them initially with spherically symmetric scalar perturbations. Our simulations demonstrate the long-term stability of these scalarized black holes, suggesting that the presence of a stable light ring may not necessarily induce the light-ring instability.
title Nonlinear Stability of Black Holes with a Stable Light Ring
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2403.02089