Non-Singular Black Holes and mass inflation in modified gravity

Abstract

We analytically derive a class of non-singular, static and spherically symmetric topological black hole metrics inF(R)-gravity. These have not a de Sitter core at their centre, as most model in standard General Relativity. We study the geometric properties and the motion of test particles around these objects. Since they have two horizons, the inner being of Cauchy type, we focus on the problem of mass inflation and show that it occurs except when some extremal conditions are met.

version accepted for publication

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• Trinity of black hole correspondences: Shadows, quasinormal modes, graybody factors, and cautionary remarks
• Evaporation of a Kerr-black-bounce by emission of scalar particles
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Topological regular black holes without Cauchy horizon
• Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• Black Holes and Wormholes Beyond Classical General Relativity
• Bianchi IX geometry and the Einstein-Maxwell theory
• Gravitational Collapse of an Inhomogeneous Fluid in Rastall Theory