Scale-invariant rotating black holes in quadratic gravity

Abstract

Black hole solutions in pure quadratic theories of gravity are interesting since they allow to formulate a set of scale-invariant thermodynamics laws. Recently, we have proven that static scale-invariant black holes have a well-defined entropy, which characterizes equivalent classes of solutions. In this paper, we generalize these results and explore the thermodynamics of rotating black holes in pure quadratic gravity.

One typo corrected. Version accepted for publication in the "Entropy" special issue: "Entropy in Quantum Gravity and Quantum Cosmology", editor R. Garattini

References in corpus (5)

• Dynamically Induced Planck Scale and Inflation
• Inflation in scale-invariant theories of gravity
• Reconstructing the inflationary $f(R)$ from observations
• Inflationary quasi-scale invariant attractors
• Thermodynamics of topological black holes in $R^2$ gravity

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• Features and stability analysis of non-Schwarzschild black hole in quadratic gravity
• A no-hair theorem for spherically symmetric black holes in $R^2$ gravity
• A Stueckelberg Approach to Quadratic Curvature Gravity and its Decoupling Limits
• Scale-invariant inflation with one-loop quantum corrections
• Non-Singular Black Holes and mass inflation in modified gravity
• On the equivalence of Jordan and Einstein frames in scale-invariant gravity
• Testing scale-invariant inflation against cosmological data
• Inflation and primordial gravitational waves in scale-invariant quadratic gravity with Higgs
• A note on the linear stability of black holes in quadratic gravity
• On the stability of scale-invariant black holes
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• Exact solutions in ${\mathcal{R}}^2$ SUGRA
• Quasi Scale-Invariant Inflationary Attractors
• Static and spherically symmetric solutions in a scenario with quadratic curvature contribution