Holographic Entropy Packing inside a Black Hole

Details Holographic Entropy Packing inside a Black Hole Holographic Entropy Packing inside a Black Hole

2010-08-12

arxiv.org/abs/1008.2196v3

Phys.Rev.Lett.106:151301,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

[V3] accepted to PRL (version shortened, a paragraph on singularity structure added); 10 pages, no figures

Scientific paper

10.1103/PhysRevLett.106.151301

If general relativity is spontaneously induced, the black hole limit is governed by a phase transition which occurs precisely at the would have been horizon. The exterior Schwarzschild solution then connects with a novel core of vanishing spatial volume. The Kruskal structure, admitting the exact Hawking imaginary time periodicity, is recovered, with the conic defect defused at the origin, rather than at the horizon. The entropy stored inside \textbf{any} interior sphere is universal, equal to a quarter of its surface area, thus locally saturating the 't Hooft-Susskind holographic bound. The associated Komar mass and material energy functions are non-singular.

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