https://doi.org/10.1140/epjp/s13360-023-04763-y
Regular Article
Traversable wormhole solutions admitting Karmarkar condition in Lyra manifold
1
Department of Mathematics, C.V. Raman Global University, Bidyanagar, Mahura, Janla, 752054, Bhubaneswar, Odisha, India
2
Department of Physics, Odisha University of Technology and Research, Techno Campus, 751029, Bhubaneswar, Odisha, India
b
kamallochanmahanta@cgu-odisha.ac.in
Received:
6
September
2023
Accepted:
30
November
2023
Published online:
15
December
2023
The objective of this research work is to construct a wormhole shape function and study a traversable wormhole in the Lyra manifold. For this purpose, we use the well-known Karmarkar condition to find the shape function. The proposed shape function formulates wormhole geometry that connects two asymptotically flat surfaces in spacetime and satisfies all the essential conditions. We use different graphs to analyse the behaviour of the shape function and the anisotropic parameter. Further, we use the causality and Herrera-cracking techniques to examine the stability of the wormhole and find that all the necessary criteria for stability are satisfied. Therefore, a viable and stable traversable wormhole solution exists in the Lyra manifold.
Bishwabhusan Sutar, K. L. Mahanta and R. R. Sahoo have contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
