Analytical general solutions for static wormholes in $f(R,T)$ gravity

TL;DR

This paper derives analytical solutions for static wormholes within $f(R,T)$ gravity, exploring their energy conditions and potential observational signatures, and confirming consistency with existing literature.

Contribution

It provides the first analytical general solutions for static wormholes in $f(R,T)$ gravity, including energy conditions and quantum effect considerations.

Findings

Solutions are consistent with previous literature.

Energy conditions for static wormholes are derived.

Analytical approach applied to $f(R,T)$ gravity.

Abstract

Originally proposed as a tool for teaching the general theory of relativity, wormholes are today approached in many different ways and are seeing as an efficient alternative for interstellar and time travel. Attempts to achieve observational signatures of wormholes have been growing as the subject has became more and more popular. In this article we investigate some $f(R,T)$ theoretical predictions for static wormholes, i.e., wormholes whose throat radius can be considered a constant. Since the $T$-dependence in $f(R,T)$ gravity is due to the consideration of quantum effects, a further investigation of wormholes in such a theory is well motivated. We obtain the energy conditions of static wormholes in $f(R,T)$ gravity and apply an analytical approach to find the solutions. We highlight that our results are in agreement with previous solutions presented in the literature.