Triple-horizon spherically symmetric spacetime and holographic principle

TL;DR

This paper introduces a family of spherically symmetric spacetimes with inhomogeneous dark energy, connecting different de Sitter vacua and featuring a unique triple horizon with distinctive thermodynamic properties, relevant for holographic principles.

Contribution

It presents a new class of inhomogeneous, anisotropic vacuum solutions with a triple horizon, linking quantum horizon evaporation to fixed cosmological constants.

Findings

Existence of a triple horizon with finite entropy and zero temperature.

The triple horizon's properties are determined by quantum horizon evaporation.

The spacetime connects two de Sitter vacua with different cosmological constants.

Abstract

We present a family of spherically symmetric spacetimes, specified by the density profile of a vacuum dark energy, which have the same global structure as the de Sitter spacetime but the reduced symmetry which leads to a time-evolving and spatially inhomogeneous cosmological term. It connects smoothly two de Sitter vacua with different values of cosmological constant and corresponds to anisotropic vacuum dark fluid defined by symmetry of its stress-energy tensor which is invariant under the radial boosts. This family contains a special class distinguished by dynamics of evaporation of a cosmological horizon which evolves to the triple horizon with the finite entropy, zero temperature, zero curvature, infinite positive specific heat, and infinite scrambling time. Non-zero value of the cosmological constant in the triple-horizon spacetime is tightly fixed by quantum dynamics of evaporation of the cosmological horizon.