Spontaneously Induced General Relativity: Holographic Interior for Reissner-Nordstrom Exterior

TL;DR

This paper explores a model where gravity is spontaneously induced, revealing a phase transition at the black hole horizon that results in a novel interior structure with holographic properties and a non-singular core.

Contribution

It introduces an analytically derived interior solution for charged black holes under spontaneous gravity induction, connecting it with the exterior Reissner-Nordstrom solution and holographic entropy bounds.

Findings

Inner core has vanishing volume and constant surface gravity.

Holographic entropy saturates the Bousso bound.

Kruskal structure with Hawking periodicity is recovered.

Abstract

If general relativity is spontaneously induced, that is if the reciprocal Newton constant serves as a VEV, 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 non-singular 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.