A study of wormhole solutions in f(Q,T) gravity using some viable shape functions

Abstract

This article examines static spherically symmetric wormhole (WH) solutions in f(Q,T) theory of gravity where Q represents non-metricity (NM) scalar while T is the trace of the stress-energy tensor. An anisotropic fluid configuration is taken into account to fulfill the task along with the linear form of the f(Q,T) model. For two different choices of the redshift function that are φ(r)=constant, φ(r)=(r0r)12 and for the shape functions, b(r)=r0+r0((rr0)γ−1),b(r)=r0log⁡(r+1)log⁡(r0+1), we construct the corresponding WH solutions. We examine the graphical behavior of the chosen shape functions and analyze all necessary and sufficient conditions for the existence of WH. We investigate the stability of obtained solutions and analyze how the energy conditions behave. We found that the null energy condition (NEC) is violated in a few regions of spacetime which shows the existence of traversable WHs in these regions. It is concluded that our results are viable for the positive values of theory parameters and within a range 0<γ<1 (the parameter of the shape function).