Charged Wormhole Solutions in 4D Einstein-Gauss-Bonnet Gravity

Fuente: arXiv
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Autores principales: Panyasiripan, Piyachat, Felegary, Fereshteh, Channuie, Phongpichit
Formato: Preprint
Publicado: 2024
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author Panyasiripan, Piyachat
Felegary, Fereshteh
Channuie, Phongpichit
author_facet Panyasiripan, Piyachat
Felegary, Fereshteh
Channuie, Phongpichit
contents In the present work, we construct models of static wormholes within the framework of 4-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity an (an)isotropic energy momentum tensor (EMT) and a Maxwell field as supporting matters for the wormhole geometry assuming a constant redshift function. We obtain exact spherically symmetric wormhole solutions in 4D EGB gravity for an isotropic and anisotropic matter sources under the effect of electric charge. The solutions are more generalized in the sense of incorporating the charge contributions. Furthermore, we examine the null, weak and strong energy conditions at the wormhole throat of radius $r=r_{0}$. We demonstrate that at the wormhole throat, the classical energy conditions are violated by arbitrary small amount. Additionally, we analyze the wormhole geometry incorporating semiclassical corrections through embedding diagrams. We discover that the wormhole solutions are in equilibrium as the anisotropic and hydrostatic forces cancel each other.
format Preprint
id arxiv_https___arxiv_org_abs_2406_17362
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Charged Wormhole Solutions in 4D Einstein-Gauss-Bonnet Gravity
Panyasiripan, Piyachat
Felegary, Fereshteh
Channuie, Phongpichit
General Relativity and Quantum Cosmology
In the present work, we construct models of static wormholes within the framework of 4-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity an (an)isotropic energy momentum tensor (EMT) and a Maxwell field as supporting matters for the wormhole geometry assuming a constant redshift function. We obtain exact spherically symmetric wormhole solutions in 4D EGB gravity for an isotropic and anisotropic matter sources under the effect of electric charge. The solutions are more generalized in the sense of incorporating the charge contributions. Furthermore, we examine the null, weak and strong energy conditions at the wormhole throat of radius $r=r_{0}$. We demonstrate that at the wormhole throat, the classical energy conditions are violated by arbitrary small amount. Additionally, we analyze the wormhole geometry incorporating semiclassical corrections through embedding diagrams. We discover that the wormhole solutions are in equilibrium as the anisotropic and hydrostatic forces cancel each other.
title Charged Wormhole Solutions in 4D Einstein-Gauss-Bonnet Gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2406.17362