Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity

Understand

We consider modified symmetric teleparallel gravity (STG), in which gravitational Lagrangian is given by the arbitrary function of non-metricity scalar $Q$ to study static and spherically symmetric charged traversable wormhole solutions with non-commutative background geometry.

• The matter source at the wormhole throat is acknowledged to be anisotropic, and the redshift function has a constant value (thus, our wormhole solution is non-tidal).
• We study the obtained field equations with the two functional forms of $f(Q)$ STG models, such as linear $f(Q)=\alpha Q+\beta$ and non-linear $f(Q)=Q+mQ^n$ models under Gaussian and Lorentzian distributions.
• Our analysis found the exact wormhole solutions for the linear STG model only.