Wormhole in $f(Q)$ gravity

Abstract

In this paper, exact asymptotically flat wormhole solutions in the context of symmetric teleparallel gravity, i.e., f (Q) theory of gravity, are investigated. Since modified theories of gravity provide new field equations, we have analyzed some possible wormhole solutions by using modified field equations. Four different forms of the f (Q) function are considered then the shape function is calculated with some different equations of state. Also we have used a power-law shape function with these models, which lead to an asymptotically barotropic equation of state. Some physical and mathematical properties of the solutions, like energy conditions and boundary conditions, are addressed .

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].…”

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.…”