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.

14 pages, 4 figures, improved version

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• An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole