Time dependent black holes and thermal equilibration

TL;DR

This paper investigates a time-dependent black hole solution in IIB string theory via AdS/CFT, demonstrating thermalization and entropy increase in the dual field theory with exact gravity-field theory agreement.

Contribution

It provides an exact analysis of a time-dependent black hole and its dual thermal system, showing detailed agreement between gravity and field theory descriptions.

Findings

The system equilibrates with the non-conserved operator expectation value decaying exponentially.

Entropy increases during the thermalization process.

Exact agreement between gravity calculations and field theory predictions is achieved.

Abstract

We study aspects of a recently proposed exact time dependent black hole solution of IIB string theory using the AdS/CFT correspondence. The dual field theory is a thermal system in which initially a vacuum density for a non-conserved operator is turned on. We can see that in agreement with general thermal field theory expectation the system equilibrates: the expectation value of the non-conserved operator goes to zero exponentially and the entropy increases. In the field theory the process can be described quantitatively in terms of a thermofield state and exact agreement with the gravity answers is found.