Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity

Abstract

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.

Creation of wormholes during the cosmological bounce

“…Therefore, if WEC is assumed to be satisfied then wormholes can be realized only by virtue of modification of field equations for gravity. Numerous realizations of such wormhole solutions not requiring the WEC violation were extensively studied in the literature [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60]. One special case of potential wormhole solutions supported by modified gravity are "small cosmological wormholes", an approximate type of solution where for a large enough distance from the wormhole throat the spacetime geometry can be described by the standard cosmological FLRW metric [61].…”

Creation of wormholes during the cosmological bounce

“…Therefore, if WEC is assumed to be satisfied then wormholes can be realized only by virtue of modification of field equations for gravity. Numerous realizations of such wormhole solutions not requiring the WEC violation were extensively studied in the literature [41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60]. One special case of potential wormhole solutions supported by modified gravity are "small cosmological wormholes", an approximate type of solution where for a large enough distance from the wormhole throat the spacetime geometry can be described by the standard cosmological FLRW metric [61].…”