https://doi.org/10.1140/epjp/s13360-023-04323-4
Regular Article
Dynamical wormhole solutions in Rastall theory
1
Department of Mathematics, Faculty of Sciences, Bilkent University, 06800, Ankara, Turkey
2
Independent Researcher, Istanbul, Turkey
Received:
7
June
2023
Accepted:
27
July
2023
Published online:
10
August
2023
Wormhole configurations in Einstein’s general theory of relativity (GR) require exotic matter sources violating the weak energy condition (WEC). Rastall’s theory is a generalization of GR in its matter source considering a nonconserved energy-momentum (EM) tensor. Hence, on the one hand, the nature of this generalization of the matter source of field equations and, on the other hand, the possibility of respecting energy conditions for dynamical wormholes in contrast with static ones motivates us to study the possibility of existence of wormhole configurations respecting energy conditions or minimizing the violations of them in Rastall’s modified theory. We derive general analytical solutions considering a constant redshift functions and a particular equation of state for energy density and pressure profiles. We show that because of the modifications in EM source of the field equations, there exist solutions respecting the WEC in the vicinity of the wormhole’s throat for a specified values of the parameters. Some particular solutions are discussed in detail.
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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.
