Wormholes in the Non-minimally Coupled Gravity with Electromagnetism

Fuente: arXiv
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Main Author: Sert, Özcan
Format: Preprint
Published: 2023
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author Sert, Özcan
author_facet Sert, Özcan
contents Since the general relativistic approach requires exotic matter with negative energy density, constructing wormholes containing realistic matter is a crucial challenge. Therefore, extending General Relativity to non-minimal cases may be an alternative option. In this paper, we investigate wormholes which are supported by the non-minimally coupled electromagnetic fields to gravity in $Y(R)F^2$ form where $F^2$ is the Maxwell invariant and $Y(R)$ is a function of the Ricci scalar $R$. We consider both electrically and magnetically charged cases. Then we give some exact asymptotically AdS/dS and flat solutions for traversable wormhole geometries. By discussing whether these obtained geometries satisfy the energy conditions and vanishing sound speed condition, we determine stable solutions containing realistic matter for some parameter values.
format Preprint
id arxiv_https___arxiv_org_abs_2312_09549
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
Sert, Özcan
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Since the general relativistic approach requires exotic matter with negative energy density, constructing wormholes containing realistic matter is a crucial challenge. Therefore, extending General Relativity to non-minimal cases may be an alternative option. In this paper, we investigate wormholes which are supported by the non-minimally coupled electromagnetic fields to gravity in $Y(R)F^2$ form where $F^2$ is the Maxwell invariant and $Y(R)$ is a function of the Ricci scalar $R$. We consider both electrically and magnetically charged cases. Then we give some exact asymptotically AdS/dS and flat solutions for traversable wormhole geometries. By discussing whether these obtained geometries satisfy the energy conditions and vanishing sound speed condition, we determine stable solutions containing realistic matter for some parameter values.
title Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2312.09549