A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

Abstract

This study is devoted to explore the physical aspects of wormhole geometry under embedded class-1 spacetime in $$f(T,\tau )$$ f ( T , τ ) gravity, where $$\tau $$ τ denotes the trace of the energy-momentum tensor and T is the torsion. We derive the embedded class-1 solutions by considering spherically symmetric static spacetime. The shape function is calculated in the framework of embedded class-1 spacetime. It is necessary to mention here that the calculated shape function can be used in other modified theories of gravity. To complete this study, we take diagonal and off-diagonal tetrad, and try to build a comparison by considering the validity region of energy conditions in embedded class-1 spacetime. The embedded surface diagram is given to understand the connection between the two different regions of spacetime. The validity regions of all the energy conditions are calculated. A detailed graphical analysis is provided for validity regions of all the energy conditions. The presence of exotic matter is confirmed in both the cases as the null energy condition is violated.

Minimally Deformed Wormholes Inspired by Noncommutative Geometry

“…This information in conjunction with the equation (20) allow to obtain the decoupler function for each model, (32) for the Gaussian profile and (34) for the Lorentzian one. As the throat condition b(r 0 ) = r 0 must be respected, the deformation function should be zero at the wormhole throat r 0 , given rise to the minimally deformed shape functions (41) and (42).…”

“…In order to overcome the above impasse, some authors have developed many interesting wormhole models in another scenarios, such as higher dimensional theories like Einstein–Gauss–Bonnet, [ 34 ] warped extra dimensions, [ 35 ] GR extensions such as $$f(R,T)$$ gravity, [ 36 ] scale–dependent, [ 37 ] asymptotically safety gravity, [ 38 ] conformal Weyl gravity, [ 39,40 ] teleparalell gravity, [ 41 ] kinetic gravity, [ 42 ] hybrid Palatini–metric gravity, [ 43 ] action dependent Lagrangian theories [ 44 ] and by incorporating 3–form fields [ 45 ] and pole dark energy, [ 46 ] to name a few. In all the mentioned works, the non violation of energy conditions and the satisfaction of the flare–out condition are achieved and justified by extra dimensions and new terms modifying the usual Einstein theory of gravity, GR.…”

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

“…Much work has already been done on astrophysical objects like wormholes in modified theories, and still, research is going on. Born-Infield theory [22][23][24], Rastall theory [25], quadratic gravity [26], curvature matter coupling [27][28][29], Einstein-Cartan gravity [30][31][32], and braneworld [33][34][35][36][37] are few examples. Lobo and Oliveira [38] have investigated wormhole geometries in the context of f (R) gravity (where R is the Ricci scalar).…”

“…Moreover, energy density also needs to be positive for a realistic matter source that maintains the wormhole solutions. Solving equations ( 26) to (28) , one can reads…”

Does violation of cosmic no-hair conjecture guarantee the existence of wormhole?

“…Also, several works have been carried out on the existence of a wormhole solution with non-exotic matter. Readers may refer to [11][12][13][14][15][16][17][18][19][20][21][22][23] for more details.…”