Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity

TL;DR

This paper investigates static spherically symmetric wormhole solutions within $f(R,T)$ gravity, demonstrating that such wormholes can exist without exotic matter and are potentially stable, especially with anisotropic matter content.

Contribution

It introduces wormhole solutions in $f(R,T)$ gravity considering various matter contents, showing they can be realized without exotic matter and analyzing their stability.

Findings

Wormhole solutions can exist without exotic matter in certain regions.

Anisotropic matter leads to more realistic and stable wormholes.

Graphical analysis supports the theoretical findings.

Abstract

In this work, we explore wormhole solutions in $f(R,T)$ theory of gravity, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor of matter. To investigate this, we consider static spherically symmetric geometry with matter contents as anisotropic, isotropic and barotropic fluids in three separate cases. By taking into account Starobinsky $f(R)$ model , we analyze the behavior of energy conditions for these different kind of fluids. It is shown that the wormhole solutions can be constructed without exotic matter in few regions of spacetime. We also give the graphical illustration of obtained results and discuss the equilibrium picture for anisotropic case only. It is concluded that the wormhole solutions with anisotropic matter are realistic and stable in this gravity.