$f(R)$ gravity solutions for evolving wormholes

TL;DR

This paper explores evolving wormhole solutions within scalar-tensor $f(R)$ gravity, reconstructs models consistent with experimental data, and analyzes energy conditions, finding they generally obey NEC near the throat.

Contribution

It introduces a reconstruction technique to find evolving wormhole solutions in viable $f(R)$ gravity models constrained by experimental data.

Findings

Energy conditions obeyed near the wormhole throat

NEC can be violated at large regions when $f(R)=R$

Models are consistent with current experimental constraints

Abstract

Scalar-tensor $f(R)$ theory of gravity is considered in the framework of a simple inhomogeneous space-time model. In this we use the reconstruction technique to look for possible evolving wormhole solutions within viable $f(R)$ gravity formalism. These $f(R)$ models are then constrained so that they are consistent with existing experimental data. Energy conditions related to the matter threading the wormhole are analysed graphically and are in general found to obey the null energy conditions (NEC) in regions around the throat, while in the limit $f(R)=R,$ NEC can be violated at large in regions around the throat.