Static spherically symmetric wormholes in gravity*

Abstract

Abstract In this study, we obtain wormhole solutions in the recently proposed extension of symmetric teleparallel gravity, known as gravity. Here, the gravitational Lagrangian L is defined by an arbitrary function f of Q and T, where Q is a non-metricity scalar, and T is the trace of the energy-momentum tensor. In this study, we obtain field equations for a static spherically symmetric wormhole metric in the context of general gravity. We study the wormhole solutions using (i) a linear equation of state and (ii) an anisotropy relation. We adopt two different forms of , (a) linear and (b) non-linear , to investigate these solutions. We investigate various energy conditions to search for preservation and violation among the obtained solutions and find that the null energy condition is violated in both cases of our assumed forms of . Finally, we perform a stability analysis using the Tolman-Oppenheimer-Volkov equation.