Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields

Abstract

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some thermodynamic quantities of the obtained black holes like entropy and energy and investigate their thermodynamic topology.

arXiv comment11 pages, 3 figures

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