Eur. Phys. J. C (2017) 77: 322
https://doi.org/10.1140/epjc/s10052-017-4882-x

Regular Article - Theoretical Physics

Horizon quantum mechanics of rotating black holes

¹ Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy
² I.N.F.N., Sezione di Bologna, I.S. FLAG, via B. Pichat 6/2, 40127, Bologna, Italy
³ Arnold Sommerfeld Center, Ludwig-Maximilians-Universität, Theresienstraße 37, 80333, Munich, Germany
⁴ Institute of Space Science, Bucharest, P.O. Box MG-23, 077125, Bucharest-Magurele, Romania

^* e-mail: casadio@bo.infn.it

Received: 30 January 2017
Accepted: 4 May 2017
Published online: 18 May 2017

Abstract

The horizon quantum mechanics is an approach that was previously introduced in order to analyze 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 disfavor extremal (macroscopic) geometries.