Wormhole solution in modified teleparallel-Rastall gravity and energy conditions

TL;DR

This paper explores static, spherically symmetric traversable wormhole solutions within modified teleparallel Rastall gravity, demonstrating that certain energy conditions are satisfied at the wormhole throat under specific constraints.

Contribution

It introduces new exact wormhole solutions in modified teleparallel Rastall gravity and analyzes the role of Rastall parameters in satisfying energy conditions.

Findings

Exact asymptotically flat wormhole solutions found.

Null and weak energy conditions are satisfied at the wormhole throat.

Rastall parameters significantly influence the solutions.

Abstract

The possibility of static and spherically symmetric traversable wormhole solution in modified teleparallel Rastall gravity (MTRG) in a non-diagonal tetrad is investigated. Rastall assumption modifies the field equations and energy-momentum conservation law. These modifications lead to different exact asymptotically flat traversable wormhole solutions. By imposing different constraints on modified energy-momentum conservation law, different exact solutions are found and the obtained results for teleparallel Rastall gravity (TRG), with specific choices of $f(T)$, are studied. It is shown that the Rastall parameters have a key role in these models and in all of those exact traversable wormhole solutions the null energy condition (NEC) and weak energy condition (WEC) of matter or energy which has surrounded the wormhole are valid at the throat of the wormhole and through the space time as well.