Wormhole Geometries In $f(R,T)$ Gravity

TL;DR

This paper explores wormhole solutions within f(R,T) gravity, demonstrating that the matter can satisfy energy conditions while the effective stress-energy violates the null energy condition, highlighting modified gravity effects.

Contribution

It derives wormhole shape functions in f(R,T) gravity with specific equations of state, showing matter can obey energy conditions in this framework.

Findings

Matter can satisfy energy conditions in f(R,T) wormholes

Effective stress-energy violates null energy condition

Shape functions are obtained under specific equations of state

Abstract

We study wormhole solutions in the framework of f (R,T) gravity where R is the scalar curvature, and T is the trace of the stress-energy tensor of the matter. We have obtained the shape function of the wormhole by specifying an equation of state for the matter field and imposing the flaring out condition at the throat. We show that in this modified gravity scenario, the matter threading the wormhole may satisfy the energy conditions, so it is the effective stress-energy that is responsible for violation of the null energy condition.