Regular Article - Theoretical Physics
Generalised Ellis–Bronnikov wormholes in f(R) gravity
Main Astronomical Observatory of the NAS of Ukraine (MAO NASU), 03143, Kyiv, Ukraine
2 Astronomical Observatory, Taras Shevchenko National University of Kyiv, 3 Observatorna St., 04053, Kyiv, Ukraine
3 Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India
Accepted: 23 March 2022
Published online: 1 April 2022
In this manuscript, we construct generalized Ellis–Bronnikov wormholes in the context of f(R) modified theories of gravity. We consider that the matter driving the wormhole satisfies the energy conditions so that it is the effective energy–momentum tensor containing the higher-order derivatives of curvature terms that violate the null energy condition. Thus, the gravitational fluid is interpreted by the higher-order derivatives of curvature terms to represent the wormhole geometries and is fundamentally different from its counter representation in general relativity. In particular, we explore the wormhole geometries by presuming various well-known forms of Lagrangian f(R). In addition, for the seek of completeness, we discuss modified Tolman–Oppenheimer–Volkov, volume integral quantifier, and total gravitational energy.
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