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

Abstract

We consider symmetric teleparallel gravity (STEGR), 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 derived numerically suitable forms of wormhole shape functions in the linear f (Q) = αQ + β and non-linear f (Q) = Q + mQ n STEGR models directly from the modified Einstein Field Equations (EFE's). Besides, we probed these models via Null, Dominant, and Strong energy conditions w.r.t. free MOG parameters α, β, m, and n. We also used Tolman-Oppenheimer-Vokloff (TOV) equation to investigate the stability of WH anisotropic matter in considered MOG. Finally, we plot the effective equation of state.

Buchdahl quark stars within f(Q) theory

“…Apart from the FLRW cosmology, a wide variety of compact objects of singular and non-singular nature were investigated in the f (Q) gravity. For example, spherically symmetric and stationary black hole spacetimes [10], traversable wormholes [11][12][13][14] and star-like objects without singularity present [15,16]. In the following, we will briefly discuss such non-singular star-like objects that we are going to study in the present work.…”