Traversable Wormholes in the Conservative $f (R, T )$ Gravity

TL;DR

This paper constructs traversable wormholes within a specific $f(R,T)$ gravity framework, demonstrating that for certain parameters, such wormholes can exist without requiring exotic matter, unlike in standard general relativity.

Contribution

It introduces a new wormhole solution in $f(R,T)$ gravity with conserved energy-momentum, showing that exotic matter is not necessary for traversability in this model.

Findings

Wormholes can be constructed without exotic matter in this model.

The $f(R,T)$ function is linear in $T$ under conservation.

The solution is valid for a range of model parameters.

Abstract

We present a wormhole construction in the framework of the $f(R,T)$ extended gravity theory, with $R$ being the Ricci curvature scalar and $T$ the trace of the energy-momentum tensor, in the case in which the energy-momentum tensor is conserved. From the conservation equation we find that the $f(R,T)$ function is linear in $T$. By developing the field equations, we find a traversable wormhole that for a range of the model parameter values, has no need to be filled by exotic matter.