Non-exotic asymptotically flat wormholes in $f(Q,T)$ gravity

TL;DR

This paper explores static, spherically symmetric wormhole solutions in extended $f(Q,T)$ gravity, demonstrating that certain solutions can satisfy energy conditions that are violated in general relativity, thus avoiding exotic matter.

Contribution

It introduces specific wormhole solutions within $f(Q,T)$ gravity that obey energy conditions, contrasting with the violations typically seen in general relativity.

Findings

Existence of non-exotic wormholes in $f(Q,T)$ gravity.

Power-law shape functions derived from linear equations of state.

Range of solutions with variable equations of state.

Abstract

In this study, we investigate the possible existence of static and spherically symmetric wormhole solutions within the context of the newly formulated extended $f(Q,T)$ gravity. We analyze a linear model, $f(Q,T)=\alpha Q+ \beta T$, and focus on traversable wormholes. By applying the variational method, we derive modified versions of the field equations that are influenced by an anisotropic matter source for a zero redshift function. It has been observed that the violation of energy conditions is influenced by the parameters $\alpha$ and $\beta$. We reach the conclusion that solutions which violate the radial and lateral null energy condition in the context of general relativity may still adhere to the energy conditions within the realm of $f(Q,T)$ gravity. To begin with, by utilizing a linear equation of state for radial pressure, we obtain a power-law shape function. Additionally, we investigate solutions defined by a variable equation of state parameter. A broad spectrum of non-exotic wormhole solutions has been identified, contingent upon the particular parameters of the model.