Abstract
This study is devoted to explore the physical aspects of wormhole geometry under embedded class-1 spacetime in f(T,tau ) gravity, where tau 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.
Highlights
An interesting topic in modern cosmology is the discussion about the existence and formation of wormholes solutions
This study is devoted to explore the physical aspects of wormhole geometry under embedded class-1 spacetime in f (T, τ ) gravity, where τ denotes the trace of the energy-momentum tensor and T is the torsion
The shape function is calculated in the framework of embedded class-1 spacetime
Summary
An interesting topic in modern cosmology is the discussion about the existence and formation of wormholes solutions. Numerous authors in literature [34,35,36,37,38,39,40,41,42,43,44,45,46,47,48] have developed WH solution by generating different admissible and viable results with the inclusion of several types of exotic fluids like quintom, scalar field models, non-commutative geometry and electromagnetic field, and discussed the energy conditions for different modified theories of gravity. The study presented by Morris et al [23], claims that the presence of exotic matter has an important contribution in the structural formation of WHs in the case GR. We apply the principle of f (T, τ ) gravity to calculate the WH solutions For this purpose, we apply the renowned Karmarkar condition (KC) under embedded spacetime by following the work presented in the literature [57,59]. In the last part we conclude our discussion about the obtained WH solutions
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