Wormhole solutions in symmetric teleparallel gravity

Nonmetricity theories and aspects of gauge symmetry

“…Nevertheless, Weyl geometry has gotten back to scene through proposals to unify the standard model of particles with gravity [59,60,[62][63][64][65]102] and also by looking for applications in cosmology [103,104], among other interesting physical implications. This is not to mention recent resurrection of Weyl's ideas through a generalization of the nonmetricity condition: ∇ α g µν = −Q αµν , which together with the requirement (17), are the basis of the symmetric teleparallel theories of gravity [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][91][92][93][94][95][96][97][98][99], including the so called coincident general relativity [89,100,101]. It is clumsy that, but a very few works [55,57] one can not find even a mention of the SCE in none of these papers.…”

Wormhole in $f(Q)$ gravity

“…where α and n are some arbitrary constant. It should be noted that since b(r) < r, the Q(r) function is always negative therefore the minus sign appears in (31). By using the function ( 14), (31).…”

“…By considering a known shape and redshift function, they have shown that some of the f (Q) models can provide solutions which satisfy energy conditions. In [31], the authors obtained wormhole solutions from the Karmarkar condition in f (Q) gravity formalism. They have indicated that the combination of such ingredients provides the possibility of obtaining traversable wormholes satisfying the energy conditions [31].…”

“…In [31], the authors obtained wormhole solutions from the Karmarkar condition in f (Q) gravity formalism. They have indicated that the combination of such ingredients provides the possibility of obtaining traversable wormholes satisfying the energy conditions [31]. Hassan et al have studied the traversable wormhole geometries in f (Q) by considering two specific EoS [32].…”

Traversable wormhole inspired by non-commutative geometries in $f(Q)$ gravity with conformal symmetry

“…We quote, for instance, in [65][66][67] some cosmological features of f (Q) gravity were investigated, Energy conditions in f (Q) gravity have been studied by Mandal et al in [68] and wormhole solutions have been investigated in f (Q) gravity in Refs. [69,70]. For more application of f (Q) gravity one can check [71,72].…”