Curvature Scalarization of Black Holes in f(R) Gravity

Abstract

We consider f(R) gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential. When the scalar field backreacts to the metric we find at large distances scalarized Schwarzschild-AdS and Schwarzschild-AdS-like black hole solutions. At small distances due to strong curvature effects and the scalar dynamis we find a rich structure of scalarized black hole solutions. When the scalar field is conformally coupled to gravity we also find scalarized black hole solutions at small distances.

arXiv comment18 pages, 12 figures

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• Topological Black Holes with curvature induced scalarization in the extended scalar-tensor theories
• Scalarization of Chern-Simons Kerr Black Hole Solutions and Wormholes