Gravitational collapse and evolution of holographic black holes

TL;DR

This paper investigates gravitational collapse in the Brane-World scenario, showing how stars can evaporate, re-expand, and exhibit behaviors analogous to Hawking radiation through holographic effects.

Contribution

It introduces a model of gravitational collapse in the Brane-World that incorporates holographic principles and quantum back-reaction, revealing new evaporation and anti-evaporation phenomena.

Findings

Stars can evaporate and approach Hawking behavior during collapse.

Effective energy of stars vanishes at finite radius, then re-expands.

Holographic effects influence star evolution via energy contributions.

Abstract

Gravitational collapse is analyzed in the Brane-World by arguing that regularity of five-dimensional geodesics require that stars on the brane have an atmosphere. For the simple case of a spherically symmetric cloud of non-dissipating dust, conditions are found for which the collapsing star evaporates and approaches the Hawking behavior as the (apparent) horizon is being formed. The effective energy of the star vanishes at a finite radius and the star afterwards re-expands and "anti-evaporates". Israel junction conditions across the brane (holographically related to the matter trace anomaly) and the projection of the Weyl tensor on the brane (holographically interpreted as the quantum back-reaction on the brane metric) contribute to the total energy as, respectively, an "anti-evaporation" and an "evaporation" term.