https://doi.org/10.1140/epjp/s13360-023-04172-1
Regular Article
Wormhole solutions in f(Q, T) gravity with a radial dependent B parameter
1
Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India
2
UFCG - Universidade Federal de Campina Grande - Unidade Acadêmica de Física, 58429-900, Campina Grande, PB, Brazil
d
pksahoo@hyderabad.bits-pilani.ac.in
Received:
19
December
2022
Accepted:
6
June
2023
Published online:
17
June
2023
A possible astrophysical object to be found in General Relativity is the wormhole. This special solution describes a topological bridge connecting points in two distinguished universes or two different points in the same universe. Despite it was never observed so far, is desired to find traversable wormholes, i.e., wormholes which have a throat at which there is no horizon. However, the traversable wormhole constraints yield solutions that violate all the energy conditions in general relativity. In the last few years, several models to describe gravity beyond 
CDM have been proposed. Then, it is relevant to look for wormhole solutions for these new theories. In this study, we are going to unveil new wormhole solutions for the so-called f(Q, T) gravity. This theory of gravity is based on the non-metricity scalar Q, which is responsible for the gravitational interaction together with the energy-momentum trace T. We use the embedding procedure to find both the energy and the equilibrium conditions for the existence of wormholes. Then, the nontrivial contributions coming from f(Q, T) gravity are embedded into the effective equations for density and pressures. We also considered the presence of strange matter in the wormhole throat. Such a matter obeys the notorious MIT bag Model. We are going to present new scenarios confirming the viability of traversable wormholes in f(Q, T) gravity with the strange matter, satisfying SEC and WEC energy conditions.
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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.
