Gaussian black holes in brane-world model

Abstract We present regular black hole solutions in the framework of Brane-world gravity sourced by a Gaussian matter distribution. The black hole metric shares all the common features of regular black holes in the modified General Relativity (GR) with some exciting features. Considering the energy...

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Main Author: Bikash Chandra Paul
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-12675-z
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author Bikash Chandra Paul
author_facet Bikash Chandra Paul
author_sort Bikash Chandra Paul
collection DOAJ
description Abstract We present regular black hole solutions in the framework of Brane-world gravity sourced by a Gaussian matter distribution. The black hole metric shares all the common features of regular black holes in the modified General Relativity (GR) with some exciting features. Considering the energy momentum tensor for an isotropic fluid on the brane, the modified Einstein field equation results with an effective energy momentum tensor that describes an anisotropic fluid determined by brane world parameters. Although the effective radial pressure and energy density satisfy the vacuum energy condition, the effective transverse pressure behaves differently. Gaussian black hole (GBH) solutions are obtained from a Gaussian matter distribution. In the paper, a new class of GBH solutions are obtained in the brane-world gravity with effective normal matter in addition to exotic matter distribution. In the brane world gravity, the mass of a GBH depends on the brane tension. The mass of a GBH formed in the brane world is greater than that at low energy (i.e., GR). We study the trajectories of the massive and the massless particles that can be trapped around a GBH for a set of model parameters. The radii of the photon spheres around the GBH and the condition for the stability of the trajectories of the photon spheres are determined. The properties of the GBHs are studied in detail, including their possible observable features.
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spelling doaj.art-35fe1fc0e0694e0ea993de765e1256a32024-03-24T12:31:29ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-03-0184311110.1140/epjc/s10052-024-12675-zGaussian black holes in brane-world modelBikash Chandra Paul0Department of Physics, University of North BengalAbstract We present regular black hole solutions in the framework of Brane-world gravity sourced by a Gaussian matter distribution. The black hole metric shares all the common features of regular black holes in the modified General Relativity (GR) with some exciting features. Considering the energy momentum tensor for an isotropic fluid on the brane, the modified Einstein field equation results with an effective energy momentum tensor that describes an anisotropic fluid determined by brane world parameters. Although the effective radial pressure and energy density satisfy the vacuum energy condition, the effective transverse pressure behaves differently. Gaussian black hole (GBH) solutions are obtained from a Gaussian matter distribution. In the paper, a new class of GBH solutions are obtained in the brane-world gravity with effective normal matter in addition to exotic matter distribution. In the brane world gravity, the mass of a GBH depends on the brane tension. The mass of a GBH formed in the brane world is greater than that at low energy (i.e., GR). We study the trajectories of the massive and the massless particles that can be trapped around a GBH for a set of model parameters. The radii of the photon spheres around the GBH and the condition for the stability of the trajectories of the photon spheres are determined. The properties of the GBHs are studied in detail, including their possible observable features.https://doi.org/10.1140/epjc/s10052-024-12675-z
spellingShingle Bikash Chandra Paul
Gaussian black holes in brane-world model
European Physical Journal C: Particles and Fields
title Gaussian black holes in brane-world model
title_full Gaussian black holes in brane-world model
title_fullStr Gaussian black holes in brane-world model
title_full_unstemmed Gaussian black holes in brane-world model
title_short Gaussian black holes in brane-world model
title_sort gaussian black holes in brane world model
url https://doi.org/10.1140/epjc/s10052-024-12675-z
work_keys_str_mv AT bikashchandrapaul gaussianblackholesinbraneworldmodel