Traversable wormholes in Finsler geometry under conformal motion

TL;DR

This study explores the theoretical possibility of traversable wormholes within Finsler geometry, analyzing their geometric features, energy conditions, and matter content, revealing conditions under which exotic matter may be necessary.

Contribution

It introduces new wormhole solutions in Finsler geometry considering conformal motion, highlighting the role of the Finsler parameter and energy condition violations.

Findings

Energy conditions are violated, indicating exotic matter is needed.

Shape functions satisfy critical criteria governed by Finsler parameter.

Anisotropy reveals repulsive geometric features in wormholes.

Abstract

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 $\gamma$ 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.