Traversable wormholes in Finsler geometry under conformal motion

Fuente: arXiv
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Auteurs principaux: Malligawad, Manjunath, Narasimhamurthy, S. K., Nekouee, Z., Kumar, Rajesh, Kumbar, Mallikarjun Y.
Format: Preprint
Publié: 2024
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author Malligawad, Manjunath
Narasimhamurthy, S. K.
Nekouee, Z.
Kumar, Rajesh
Kumbar, Mallikarjun Y.
author_facet Malligawad, Manjunath
Narasimhamurthy, S. K.
Nekouee, Z.
Kumar, Rajesh
Kumbar, Mallikarjun Y.
contents This paper aims to investigate the possibility of physically achievable new wormhole solutions within the context of Finsler geometry by focusing on conformal motion. For this purpose, we study the barotropic linear equation of state (EoS). We scrutinized their geometric features within the EoS model, which includes baryonic and non-baryonic matter. Through derived field equations, shape functions adhering to critical criteria governed by the Finsler parameter $γ$ are explored. By evaluating energy conditions, violations are found, which indicate the potential presence of exotic matter necessary for traversable wormholes. Notably, violations of energy conditions signify the plausibility of traversable wormholes within the conformally transformed Finslerian space observed in both baryonic and non-baryonic scenarios. Additionally, anisotropy exploration uncovers repulsive geometric characteristics within these wormholes.
format Preprint
id arxiv_https___arxiv_org_abs_2401_08498
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Traversable wormholes in Finsler geometry under conformal motion
Malligawad, Manjunath
Narasimhamurthy, S. K.
Nekouee, Z.
Kumar, Rajesh
Kumbar, Mallikarjun Y.
General Relativity and Quantum Cosmology
This paper aims to investigate the possibility of physically achievable new wormhole solutions within the context of Finsler geometry by focusing on conformal motion. For this purpose, we study the barotropic linear equation of state (EoS). We scrutinized their geometric features within the EoS model, which includes baryonic and non-baryonic matter. Through derived field equations, shape functions adhering to critical criteria governed by the Finsler parameter $γ$ are explored. By evaluating energy conditions, violations are found, which indicate the potential presence of exotic matter necessary for traversable wormholes. Notably, violations of energy conditions signify the plausibility of traversable wormholes within the conformally transformed Finslerian space observed in both baryonic and non-baryonic scenarios. Additionally, anisotropy exploration uncovers repulsive geometric characteristics within these wormholes.
title Traversable wormholes in Finsler geometry under conformal motion
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2401.08498