https://doi.org/10.1140/epjp/s13360-024-05622-0
Regular Article
Traversable wormholes in Einstein–Cartan gravity admitting conformal motion
1
Department of Mathematics, Karimpur Pannadevi College, 741152, Nadia, West Bengal, India
2
School of Applied Science and Humanities, Haldia Institute of Technology, 721606, Haldia, West Bengal, India
3
Department of Mathematics, Jadavpur University, 700 032, Kolkata, West Bengal, India
Received:
22
April
2024
Accepted:
29
August
2024
Published online:
15
September
2024
In this article, we explore the spherically symmetric asymptotically non-flat traversable wormhole geometries in the framework of Einstein–Cartan gravity admitting conformal motion. In this regard, we consider the matter source with isotropic pressure, linear EoS, and the matter source with anisotropic pressure to generate the wormhole structures. The obtained shape functions satisfy all the essential conditions for constructing the wormhole geometries within the Einstein–Cartan gravity. The wormhole solution corresponding to isotropic pressure is formed without the exotic matter by satisfying all the energy conditions, whereas other wormhole solutions are formed with the exotic matter by violating NEC. In addition, we analyze the active mass, total gravitational energy, volume quantifier, and equilibrium state for the present wormhole solutions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
