Gravitational collapse and its boundary description in AdS

TL;DR

This paper explores gravitational collapse in Anti-de Sitter space, analyzing black hole formation and boundary field theory states, including the Boulware and Hartle-Hawking states, and their thermalization properties.

Contribution

It provides explicit examples of collapse in AdS and links boundary two-point functions to different bulk shell configurations, enhancing understanding of holographic thermalization.

Findings

Boundary two-point functions for shell outside horizon

Identification of Boulware and Hartle-Hawking states in AdS

Connection between bulk collapse and boundary thermalization

Abstract

We provide examples of gravitational collapse and black hole formation in AdS, either from collapsing matter shells or in analogy to the Oppenheimer-Sneider solution. We then investigate boundary properties of the corresponding states. In particular, we describe the boundary two-point function corresponding to a shell outside its horizon; if the shell is quasistatically lowered into the horizon, the resulting state is the Boulware state. We also describe the more physical Hartle-Hawking state, and discuss its connection to the quasistatic shell states and to thermalization on the boundary.