Wormholes in $\kappa(R,T)$ gravity

TL;DR

This paper explores wormhole solutions within $appa(R,T)$ gravity, demonstrating that certain models can support wormholes with minimal exotic matter, thus broadening the understanding of feasible wormhole configurations.

Contribution

The study presents new wormhole solutions in $appa(R,T)$ gravity using two approaches, including models that require only small amounts of exotic matter.

Findings

Some models support wormholes with arbitrarily small exotic matter

Solutions include various redshift and shape functions

Wormholes can exist under specific parameter conditions

Abstract

The wormhole solution could be found by solving the Einstein field equations with violating the null energy condition (NEC). We represent wormhole solutions in $\kappa(R,T)$ gravity in two different ways. At first, we find the shape function by considering a redshift function and linear equation of state (EoS). The solution represents a wormhole for the real feasible matter. In the second part, we consider four pairs of two redshift functions and two shape functions and analyze the obtained solutions. Some of the models suggest that for particular values of the parameters, the existence of wormholes are supported by an arbitrarily small quantity of exotic matter.