Holographic thermalization and Oppenheimer-Snyder collapse

TL;DR

This paper models holographic thermalization using the Oppenheimer-Snyder gravitational collapse in AdS space, providing an alternative to thin-shell models and analyzing boundary correlators through geodesic approximation.

Contribution

It introduces the Oppenheimer-Snyder collapse as a new approach to holographic thermalization and compares its dynamics and boundary correlators with thin-shell models.

Findings

Oppenheimer-Snyder collapse solutions in AdS are obtained.

Boundary two-point functions are computed using geodesic approximation.

Oscillatory solutions are found in thin-shell models for certain equations of state.

Abstract

The Oppenheimer-Snyder model, which describes the gravitational collapse of a ball of dust, can be used to model thermalization of strongly coupled systems using the AdS/CFT-duality. It can be used as an alternative to the previously widely used thin-shell model in the context of holographic thermalization. We solve the dynamics of the Oppenheimer-Snyder collapse in asymptotically AdS space-times and compute the two-point function of a boundary spectator field in the geodesic approximation. As a comparison we perform the same computation in the thin-shell model and discover oscillatory solutions of the thin-shell model for certain equations of state.