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

TL;DR

This paper constructs generalized Ellis-Bronnikov wormholes within $f(R)$ gravity, showing that higher-order curvature derivatives can support wormhole geometries without exotic matter, and explores various models and their physical properties.

Contribution

It introduces a method to realize wormholes in $f(R)$ gravity with matter satisfying energy conditions, highlighting the role of higher-order curvature derivatives.

Findings

Wormhole geometries are supported by effective energy-momentum tensors with higher-order derivatives.

Different $f(R)$ models are analyzed for their ability to sustain wormholes.

The study discusses energy conditions, gravitational energy, and volume integrals in the context of these wormholes.

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.