Wormholes in $f(R,T)$ gravity with variable equation of state

TL;DR

This paper presents new asymptotically flat wormhole solutions in $f(R,T)$ gravity with a linear form, satisfying all energy conditions and exploring parameter relationships.

Contribution

It introduces a novel set of wormhole solutions in $f(R,T)$ gravity that satisfy all classical energy conditions, expanding the understanding of viable wormhole models.

Findings

Wormhole solutions satisfy null, weak, strong, and dominant energy conditions.

Solutions are asymptotically flat with a linear equation of state.

Relationship between shape function parameters and boundary conditions is analyzed.

Abstract

In this work, we introduce a novel set of asymptotically flat wormhole solutions within the framework of $f(R,T)$ theory of gravity. Considering a linear $f(R,T)=R+ 2\lambda T$ form, we show that a wide variety of wormhole solutions with asymptotically linear equation of state exist. Our solutions satisfy all the energy conditions, namely the null, weak, strong and dominant energy conditions. The relationship between free parameters in the shape function and boundary conditions is analyzed.