Static spherically symmetric wormholes in $f(Q,T)$ gravity

Abstract

In this article we obtain wormhole solutions in the recently proposed extension of symmetric teleparallel gravity called f (Q, T) gravity. Here, the gravitational Lagrangian L is defined by an arbitrary function f of Q and T (where Q is the non-metricity scalar, while T is the trace of the energy-momentum tensor). In this study, we obtain the field equations for a static spherically symmetric wormhole metric in the context of a general f (Q, T) gravity. We study the wormhole solutions with (i) linear EoS and (ii) anisotropy relation. We adopt two different forms of f (Q, T) (a) linear f (Q, T) = αQ + βT and (b) non-linear f (Q, T) = Q + λQ 2 + ηT to investigate these solutions. We investigate the various energy conditions to look for preservation and violation among the solutions that we obtained. We find that NEC is violated in both cases of our assumed forms of f (Q, T). Finally, we perform the stability analysis using Tolman-Oppenheimer-Volkov (TOV) equation.

A class of static spherically symmetric solutions in f(T)-gravity

“…Moreover, SSS geometries may also take into account another well-studied problem in experimental physics: the anomalous rotation of spiral galaxies. In those respect, SSS local solutions have been already explored in f (R)-gravity [53][54][55][56][57], in f (T )-gravity [58][59][60][61][62][63][64][65] and lately also in f (Q)gravity [66][67][68][69][70][71][72][73][74][75][76][77][78][79].…”

A class of static spherically symmetric solutions in f(Q)-gravity

“…Moreover, SSS geometries may also take into account another well-studied problem in experimental physics: the anomalous rotation of spiral galaxies. In those respect, SSS local solutions have been already explored in f (R)-gravity [52][53][54][55][56], in f (T )-gravity [57][58][59][60][61][62] and lately also in f (Q)-gravity [63][64][65][66][67][68][69][70][71][72][73][74][75][76].…”