Nonommutative wormholes in $f(R)$ gravity

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 $f(R)=a{R}^n$ 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.

9 pages, 17 figures, Accepted for publication in the Journal of Korean Physical Society (Proceedings of 13th Italian-Korean Symposium on Relativistic Astrophysics)

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