Horizon Quantum Mechanics of Rotating Black Holes

Abstract

The Horizon Quantum Mechanics is an approach that was previously introduced in order to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. In this work, we first extend the formalism to general space-times with asymptotic (ADM) mass and angular momentum. We then apply the extended Horizon Quantum Mechanics to a harmonic model of rotating corpuscular black holes. We find that simple configurations of this model naturally suppress the appearance of the inner horizon and seem to disfavour extremal (macroscopic) geometries.

22 pages, 6 figures. Final version to appear in EPJ C

References in corpus (4)

• Notes on non-singular models of black holes
• Matter and gravitons in the gravitational collapse
• Regular black holes from semi-classical down to Planckian size
• Quantum Portrait of a Black Hole with Pöschl-Teller Potential

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• Effective metric outside bootstrapped Newtonian sources
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• Quantum Formation of Primordial Black holes
• Horizon Quantum Mechanics for spheroidal sources
• Orbits in a stochastic Schwarzschild geometry
• Horizon Quantum Mechanics: spherically symmetric and rotating sources
• Black Hole Production in the Presence of a Maximal Momentum in Horizon Wave Function Formalism
• Horizon Quantum Mechanics of collapsing shells
• Black holes of multiple horizons without mass inflation
• Quantum post-Newtonian theory for corpuscular Black Holes
• Horizon Quantum mechanics: spherically symmetric and rotating sources