Wormhole generating function in $f(R,T)$ gravity

TL;DR

This paper explores traversable wormhole solutions within $f(R,T)$ gravity, deriving new shape and generating functions, and analyzing energy conditions to identify solutions that satisfy all energy criteria in certain regions.

Contribution

It introduces novel shape and generating functions for wormholes in $f(R,T)$ gravity and examines their energy conditions, expanding understanding of viable wormhole geometries.

Findings

Some wormhole solutions satisfy all energy conditions in specific regions.

New shape functions are derived for assumed generating functions.

Energy conditions are thoroughly analyzed for various solutions.

Abstract

In this present work, we have studied the traversable wormhole geometries in $f(R,T)$ gravity theory, where $R$ denotes the Ricci scalar and $T$ is the trace of the energy-momentum tensor. Firstly, two new shape functions are obtained for some assumed generating function. Also, some new generating functions are obtained in wormhole geometry for some well known shape functions and redshift functions. Energy conditions are examined in each wormhole solution and it is found that a particular type of wormhole satisfies all the energy conditions in a region.