Some specific wormhole solutions in $f(R)$-modified gravity theory

TL;DR

This paper explores static spherically symmetric wormhole solutions within $f(R)$-modified gravity, demonstrating conditions under which such wormholes can exist with anisotropic matter and satisfying energy conditions.

Contribution

It extends the formalism for finding wormhole solutions in $f(R)$ gravity and shows that energy conditions can be satisfied for specific shape functions.

Findings

Wormhole solutions are possible with zero tidal force for isotropic matter.

Energy conditions are satisfied in certain domains with specific shape functions.

The work extends previous formalism for wormholes in $f(R)$ gravity.

Abstract

The paper deals with the static spherically symmetric wormhole solutions in $f(R)$-modified gravity theory with anisotropic matter field and for some particular choices for the shape functions. The present work may be considered as an extension of the general formalism in \cite{r15} for finding wormhole solutions. For isotropic matter distribution it has been shown that wormhole solutions are possible for zero tidal force and it modifies the claim in \cite{r17}. Finally energy conditions are examined and it is found that all energy conditions are satisfied in a particular domain with a particular choice of the shape function.