https://doi.org/10.1140/epjp/s13360-023-04688-6
Regular Article
Possible existence of galactic wormholes in f(R,T) gravity
Department of Mathematics, Jadavpur University, 700032, Kolkata, West Bengal, India
Received:
27
June
2023
Accepted:
13
November
2023
Published online:
10
January
2024
To identify more deliberate f(R, T) astrophysical solutions of the wormhole geometries, we proceed under the assumption of spherical symmetry solutions of the Einstein field equations under the f(R, T) theory of gravity. For the exact solutions to the field equations, it is assumed that the gravitational Lagrangian may be written as a linear function of the Ricci scalar R and the trace of the stress-energy tensor T, i.e. 
, where 
is a constant. We carefully apply different strategies to design solutions with wormhole characteristics and properties based on constraints on wormhole geometry. Wormhole solutions are obtain here for three different density, namely, Navarro–Frenk–White density profile (NFW), Universal Rotation Curve dark matter profile (URC) and mass density profile. We provide numerous examples of wormholes where the matter threading the wormhole throat satisfies all of the energy constraints and explore general procedures for finding them using a completely general approach. Depending on whether is present or absent, solutions are divided into two categories, the GR branch and non-GR branch. Finally, we postulate a smooth transition to simplify the nonlinear Einstein field equations and we can see a specific exact wormhole in absence of exotic matter.
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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.
