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

TL;DR

This paper explores traversable wormhole solutions within the $f(R,T)$ modified gravity framework, demonstrating that such geometries can exist with normal matter satisfying energy conditions due to the modified gravity effects.

Contribution

It introduces new wormhole models in $f(R,T)$ gravity with various matter hypotheses, analyzing their metric conditions and energy compliance.

Findings

Wormhole solutions satisfy metric conditions.

Normal matter can meet energy conditions at the throat.

Modified gravity supports non-standard wormhole geometries.

Abstract

In the present article, models of traversable wormholes within the $f(R, T)$ modified gravity theory are investigated. We have presented some wormhole models, developed from various hypothesis for the substance of their matter, i.e. various relationships with their components of pressure (lateral and radial). The solutions found for the shape functions of the wormholes produced complies with the required metric conditions. The suitability of solution is examined by exploring null, strong and dominant energy conditions. It is surmised that the normal matter in the throat may pursue the energy conditions yet the gravitational field exuding from the adjusted gravity hypothesis support the appearance of the non-standard geometries of wormholes.