Spontaneously induced general relativity with holographic interior and general exterior

TL;DR

This paper explores a model where general relativity emerges spontaneously within scalar-tensor gravity, revealing a universal holographic core connected to various exterior geometries, and examines its compatibility with f(R) gravity.

Contribution

It introduces a novel inner core solution in scalar-tensor gravity with holographic properties, connecting to general exteriors and analyzing its universality and compatibility with f(R) gravity.

Findings

A numerical demonstration of a holographic core connected to Schwarzschild exterior.

Derivation of an analytic core metric applicable to general static exteriors.

Evidence that core features are universal across different exterior geometries.

Abstract

We study the spontaneously induced general relativity (GR) from the scalar-tensor gravity. We demonstrate by numerical methods that a novel inner core can be connected to the Schwarzschild exterior with cosmological constants and any sectional curvature. Deriving an analytic core metric for a general exterior, we show that all the nontrivial features of the core, including the locally holographic entropy packing, are universal for the general exterior in static spacetimes. We also investigate whether the f(R) gravity can accommodate the nontrivial core.