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

Abstract

We present three parameters exact solutions with possible black holes in 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 $n\ge 1$ we analyze null / timelike geodesic within the context of particle confinement.

5 pages, no figures. Revised version

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• Quasinormal modes of a black hole with a cloud of strings in Einstein-Gauss-Bonnet gravity
• Effects of a cloud of strings on the extended phase space of Einstein-Gauss-Bonnet AdS black holes
• Quasinormal modes, shadow and thermodynamics of black holes coupled with nonlinear electrodynamics and cloud of strings
• Stability of spherically symmetric timelike thin-shells in general relativity with a variable equation of state
• Critical behavior of AdS Gauss-Bonnet massive black holes in the presence of external string cloud
• The Birkhoff theorem and string clouds
• Cloud of strings in f(R) gravity
• Effects of the external string cloud on the Van der Waals like behavior and efficiency of AdS-Schwarzschild black holes in massive gravity
• Does a Cloud of Strings Affect Shear Viscosity Bound?
• The Last Lost Charge And Phase Transition In Schwarzschild AdS Minimally Coupled to a Cloud of Strings
• The effect of three matters on KSS bound
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
• The Effect of Bulk Dimension in the presence of String Cloud on Viscosity Bound
• The Phase Transition of $4D$ Yang-Mills Charged GB AdS Black Hole with Cloud of Strings