Nonommutative wormholes in $f(R)$ gravity

TL;DR

This paper presents new exact static wormhole solutions in $f(R)$ gravity incorporating noncommutative geometry, exploring specific functional forms and shape functions to extend previous research in the field.

Contribution

It introduces novel wormhole solutions in $f(R)$ gravity with noncommutative geometry, generalizing earlier work and analyzing different functional forms and shape functions.

Findings

Derived exact wormhole solutions for $f(R)=aR^n$

Identified viable shape function solutions

Extended previous models in $f(R)$ gravity and noncommutative geometry

Abstract

This paper discusses several new exact solutions of static wormholes in $f(R)$ gravity with a noncommutative-geometry background, which replaces point-like structures by smeared objects. In the first part of the paper we assume the power-law form $f(R)=aR^n$ and discuss several solutions corresponding to different values of the exponent. The second part of the paper assumes a particular form of the shape function that also yields a viable solution. This investigation generalizes some of our previous work in $f(R)$ gravity, as well as in noncommutative geometry.