Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity

Abstract

In this study, we have conducted an analysis of traversable wormhole solutions within the framework of linear $f(Q,T)=\alpha Q+\beta T$ gravity, ensuring that all the energy conditions hold for the entire spacetime. The solutions presented in this study were derived through a comprehensive analytical examination of the parameter space associated with the wormhole model. This involved considering the exponents governing the redshift and shape functions, as well as the radius of the wormhole throat ($r_0$), the redshift function value at the throat (${\varphi }_0$), and the model parameters ($\alpha$ and $\beta$). Also, we have established bounds on these free parameters that guarantee the satisfaction of the energy conditions throughout spacetime and have also provided two solutions. Further, we have used the Israel junction condition to see the stability of a thin-shell around the wormhole. We have also calculated the NEC criteria and potential for such a thin-shell and how it varies with the chosen shape function.

Chinese Physics C published version

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