Spontaneously induced general relativity: Holographic interior for Reissner-Nordstrom exterior
Abstract
If general relativity is spontaneously induced, that is if the reciprocal Newton constant serves as a vacuum expectation value, the electrically charged black hole limit is governed by a Davidson-Gurwich phase transition which occurs precisely at the would-have-been outer horizon. The transition profile which connects the exterior Reissner-Nordstrom solution with the novel interior is analytically derived. The inner core is characterized by a vanishing spatial volume and constant surface gravity, and in some respects, resembles a maximally stretched horizon. The Komar mass residing inside any concentric interior sphere is proportional to the surface area of that sphere, and consequently, is non-negative definite and furthermore nonsingular at the origin. The Kruskal structure is recovered, admitting the exact Hawking imaginary time periodicity, but unconventionally, with the conic defect defused at the origin. The corresponding holographic entropy packing locally saturates the ’t Hooft-Susskind-Bousso holographic bound, thus making the core Nature’s ultimate information storage.
- Publication:
-
Physical Review D
- Pub Date:
- December 2011
- DOI:
- 10.1103/PhysRevD.84.124003
- arXiv:
- arXiv:1108.2648
- Bibcode:
- 2011PhRvD..84l4003D
- Keywords:
-
- 04.70.Dy;
- Quantum aspects of black holes evaporation thermodynamics;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 12 pages, 9 figures