Finslerian wormhole solution in the framework of modified gravity

TL;DR

This paper explores a Finslerian wormhole model within a modified gravity framework, analyzing how the parameter λ influences energy conditions, stability, and structure, and visualizes the wormhole in three dimensions.

Contribution

It introduces a Finslerian wormhole solution in $f(Ric, T)$ gravity, emphasizing the role of λ in energy conditions and stability, with detailed analysis and visualization.

Findings

λ significantly affects energy condition violations

The wormhole remains stable under certain parameter ranges

A 3D visualization of the wormhole structure is provided

Abstract

This article investigates the properties of a wormhole model in a specific gravity theory, namely $f(Ric, T)=Ric+2\lambda T$. The wormhole solution is analyzed using an exponential shape function. The study examines various parameters, such as density, radial pressure, transverse pressure, equation-of-state parameters, and energy conditions, within the framework of deformed gravity. The research emphasizes the influence of the parameter $\lambda$ on energy condition violations and the equilibrium state of the Finslerian wormhole solution. These effects are attributed to anisotropic and hydrostatic forces present in modified gravity. The study demonstrates that the gravity model effectively captures the characteristics of wormholes within the Finslerian space-time. Additionally, the identified features of the wormhole are utilized to visualize its structure by creating a three-dimensional representation of the embedded surface. In summary, this research contributes to understanding wormholes in modified gravity theories, highlighting the importance of the parameter $\lambda$ in determining their behavior and properties.