Cloud of strings as source in $2+1$-dimensional $f( R) = R^n$ gravity

TL;DR

This paper finds exact solutions describing black holes in 2+1-dimensional $f(R)=R^n$ gravity coupled with a string cloud, analyzing geodesics and particle confinement for various parameters.

Contribution

It introduces three-parameter exact solutions for black holes in 2+1-dimensional $f(R)=R^n$ gravity with a string cloud, including a unified black hole picture for even $n>1$.

Findings

Exact black hole solutions for specific parameters.

Unified black hole description for even $n>1$.

Analysis of null and timelike geodesics and particle confinement.

Abstract

We present three parameters exact solutions with possible black holes in $% 2+1-$dimensional $f\left( R\right) =R^{n}$ modified gravity coupled minimally to a cloud of strings. These three parameters are $n,$ the cloud of string coupling constant $\xi $ and an integration constant $C$. Although in general one has to consider each set of parameters separately; for $n$ an even integer greater than one we give a unified picture providing black holes. For $n\geq 1$ we analyze null / timelike geodesic within the context of particle confinement.