Stability of Cauchy horizon in Einstein–Power–Maxwell–de Sitter black holes

Abstract We investigated the Strong Cosmic Censorship (SCC) conjecture in Einstein–Power–Maxwell–de Sitter (EPMdS) black holes by analyzing the quasinormal modes (QNMs) of a massless neutral scalar field perturbation. Using the pseudospectral method, we calculated the QNM frequencies across various...

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Main Authors: Lu Chen, Fei Li
Format: Article
Language:English
Published: SpringerOpen 2024-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13512-z
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author Lu Chen
Fei Li
author_facet Lu Chen
Fei Li
author_sort Lu Chen
collection DOAJ
description Abstract We investigated the Strong Cosmic Censorship (SCC) conjecture in Einstein–Power–Maxwell–de Sitter (EPMdS) black holes by analyzing the quasinormal modes (QNMs) of a massless neutral scalar field perturbation. Using the pseudospectral method, we calculated the QNM frequencies across various cosmological constants and nonlinear electromagnetic parameters. Our results show that for black holes far from extremality, the lowest QNM frequency $$-\text {Im} (\omega )/\kappa _-$$ - Im ( ω ) / κ - remains below 1/2. However, as the black holes approach extremality, the lowest mode’s $$-\text {Im} (\omega )/\kappa _-$$ - Im ( ω ) / κ - consistently exceeds 1/2, leading to a violation of SCC. Moreover, with a fixed cosmological constant, as the nonlinearity parameter $$\alpha $$ α increases, the interval of SCC violation under the charge extremality ratio narrows. Considering that $$k = 1/2 + 1/\alpha $$ k = 1 / 2 + 1 / α is inversely proportional to $$\alpha $$ α , our results indicate that increasing the order k of the non-linear electromagnetic field can effectively mitigate SCC violations.
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spelling doaj-art-422071c0b5fe490e8ed7199e18dfcbe52024-12-29T12:42:58ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-11-0184111810.1140/epjc/s10052-024-13512-zStability of Cauchy horizon in Einstein–Power–Maxwell–de Sitter black holesLu Chen0Fei Li1School of Physics, Changchun Normal UniversityDepartment of Physics, Southern University of Science and TechnologyAbstract We investigated the Strong Cosmic Censorship (SCC) conjecture in Einstein–Power–Maxwell–de Sitter (EPMdS) black holes by analyzing the quasinormal modes (QNMs) of a massless neutral scalar field perturbation. Using the pseudospectral method, we calculated the QNM frequencies across various cosmological constants and nonlinear electromagnetic parameters. Our results show that for black holes far from extremality, the lowest QNM frequency $$-\text {Im} (\omega )/\kappa _-$$ - Im ( ω ) / κ - remains below 1/2. However, as the black holes approach extremality, the lowest mode’s $$-\text {Im} (\omega )/\kappa _-$$ - Im ( ω ) / κ - consistently exceeds 1/2, leading to a violation of SCC. Moreover, with a fixed cosmological constant, as the nonlinearity parameter $$\alpha $$ α increases, the interval of SCC violation under the charge extremality ratio narrows. Considering that $$k = 1/2 + 1/\alpha $$ k = 1 / 2 + 1 / α is inversely proportional to $$\alpha $$ α , our results indicate that increasing the order k of the non-linear electromagnetic field can effectively mitigate SCC violations.https://doi.org/10.1140/epjc/s10052-024-13512-z
spellingShingle Lu Chen
Fei Li
Stability of Cauchy horizon in Einstein–Power–Maxwell–de Sitter black holes
European Physical Journal C: Particles and Fields
title Stability of Cauchy horizon in Einstein–Power–Maxwell–de Sitter black holes
title_full Stability of Cauchy horizon in Einstein–Power–Maxwell–de Sitter black holes
title_fullStr Stability of Cauchy horizon in Einstein–Power–Maxwell–de Sitter black holes
title_full_unstemmed Stability of Cauchy horizon in Einstein–Power–Maxwell–de Sitter black holes
title_short Stability of Cauchy horizon in Einstein–Power–Maxwell–de Sitter black holes
title_sort stability of cauchy horizon in einstein power maxwell de sitter black holes
url https://doi.org/10.1140/epjc/s10052-024-13512-z
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AT feili stabilityofcauchyhorizonineinsteinpowermaxwelldesitterblackholes