https://doi.org/10.1140/epjc/s10052-021-09668-7
Regular Article – Theoretical Physics
A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling
1
Department of Mathematics, Shanghai University, 200444, Shanghai, People’s Republic of China
2
School of Electrical Engineering and Computer Science, National University of Sciences and Technology, H-12, Islamabad, Pakistan
3
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
4
Laboratory of High Energy Physics and Condensed Matter (LPHEMaC), Department of Physics, Faculty of Sciences Aïn Chock, Hassan II University of Casablanca, B.P. 5366, Maarif, 20100, Casablanca, Morocco
5
Department of Physics, Faculty of Sciences, University of Ibn Tofail, B.P. 133, 14000, Kenitra, Morocco
6
Abdus Salam International Centre for Theoretical Physics, Miramare, 34151, Trieste, Italy
Received:
21
June
2021
Accepted:
19
September
2021
Published online:
7
October
2021
This study is devoted to explore the physical aspects of wormhole geometry under embedded class-1 spacetime in 
gravity, where 
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.
© The Author(s) 2021
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