Viable Wormhole Structures and Energy Conditions in f(Q,T) Theory

TL;DR

This paper investigates static wormhole solutions within the f(Q,T) gravity framework, deriving field equations, exploring different models, and identifying conditions under which physically viable and stable traversable wormholes can exist.

Contribution

It introduces specific solutions and conditions for wormholes in f(Q,T) gravity, highlighting the viability of certain models for realistic wormhole structures.

Findings

Traversable wormholes exist for specific models and parameters.

Stable wormhole solutions are feasible in the first model examined.

Energy conditions are satisfied under certain parameter choices.

Abstract

This paper explores static wormhole solutions in f(Q,T) theory, where Q is the non-metricity and T is the trace of energy-momentum tensor. We derive the field equations that describe gravitational phenomena in the existence of non-metricity and matter source terms. We examine different models of this theory to determine the explicit expressions of matter contents, which are useful for analyzing the wormhole structures. We investigate the existence of feasible traversable wormhole solutions for constant and variable redshift functions. To determine whether physically viable wormhole geometry exists, we examine the graphical interpretation of energy constraints for different values of model parameters. It is found that realistic traversable and stable wormhole solutions exist only for the first model of this gravity.