Configurational entropy of black hole quantum cores

Abstract

Two types of information entropy are studied for the quantum states of a model for the matter core inside a black hole geometry. A detailed description is first given of the quantum mechanical picture leading to a spectrum of bound states for a collapsing ball of dust in general relativity with a non-trivial ground state. Information entropies are then computed, shedding new light on the stability of the ground state and the spectrum of higher excited states.

Quantum rotating black holes

“…[7] and [8] coherent states were constructed to reproduce the classical Schwarzschild and Reissner-Nordström metrics. The condition of normalisability of such quantum states implies the necessary departure from the respective exact classical geometries, an effect that one can understand with the existence of an extended (quantum) matter core [13,15,16,19,20]. The similar quantum condition (1.5) has been analysed here in more generality to show that the classical singularity can be generically replaced by an integrable singular structure in the interior of a spherically symmetric black hole if m ∼ r near r = 0.…”