Spherically Symmetric Wormhole Solutions admitting Karmarkar Condition

Fuente: arXiv
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Main Authors: Gul, M. Zeeshan, Sharif, M.
Format: Preprint
Published: 2024
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author Gul, M. Zeeshan
Sharif, M.
author_facet Gul, M. Zeeshan
Sharif, M.
contents This paper investigated the viable traversable wormhole solutions through Karmarkar condition in the context of $f(\mathcal{G},T)$ theory. A static spherical spacetime with anisotropic matter configuration is used to study the wormhole geometry. Karmarkar condition is used to develop a viable shape function for a static wormhole structure. A wormhole geometry is constructed using the resulting shape function that satisfies all the required conditions and connects the asymptotically flat regions of the spacetime. To assess the viability of traversable wormhole geometries, the energy conditions are analyzed by various models of this theory. Further, their stable state is investigated through sound speed and adiabatic index. This investigation demonstrates the presence of viable traversable wormhole solutions in the modified theory.
format Preprint
id arxiv_https___arxiv_org_abs_2404_17846
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spherically Symmetric Wormhole Solutions admitting Karmarkar Condition
Gul, M. Zeeshan
Sharif, M.
General Relativity and Quantum Cosmology
This paper investigated the viable traversable wormhole solutions through Karmarkar condition in the context of $f(\mathcal{G},T)$ theory. A static spherical spacetime with anisotropic matter configuration is used to study the wormhole geometry. Karmarkar condition is used to develop a viable shape function for a static wormhole structure. A wormhole geometry is constructed using the resulting shape function that satisfies all the required conditions and connects the asymptotically flat regions of the spacetime. To assess the viability of traversable wormhole geometries, the energy conditions are analyzed by various models of this theory. Further, their stable state is investigated through sound speed and adiabatic index. This investigation demonstrates the presence of viable traversable wormhole solutions in the modified theory.
title Spherically Symmetric Wormhole Solutions admitting Karmarkar Condition
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2404.17846