Traversable Wormholes in $R+\alpha R^n$ Gravity

TL;DR

This paper investigates traversable wormholes within a modified gravity framework, analyzing energy conditions and the possibility of wormhole solutions without exotic matter using specific shape and redshift functions.

Contribution

It explores wormhole solutions in $f(R)=R+ ext{constant} imes R^n$ gravity, focusing on energy conditions and the avoidance of exotic matter.

Findings

Wormhole solutions can satisfy energy conditions without exotic matter.

The shape function used supports traversability in $f(R)$ gravity.

Analysis includes both constant and variable redshift functions.

Abstract

In this work, the study of traversable wormholes in $f(R)$ gravity with the function $f(R)=R+\alpha R^n$, where $\alpha$ and $n$ are arbitrary constants, is taken into account. The shape function $b(r)=\frac{r}{\exp(r-r_0)}$, proposed by Samanta et al. \cite{godani1}, is considered. The energy conditions with respect to both constant and variable redshift functions are discussed and the existence of wormhole solutions without presence of exotic matter is investigated.