Kerr-AdS Bubble Spacetimes and Time-Dependent AdS/CFT Correspondence

TL;DR

This paper computes boundary stress-energies in time-dependent AdS spacetimes across dimensions, showing their traces match known field-theoretic anomalies, thus supporting the AdS/CFT correspondence in dynamic settings.

Contribution

It provides the first detailed calculation of boundary stress-energies in time-dependent AdS spacetimes and confirms their consistency with field theory anomalies.

Findings

Boundary stress-energies match field-theoretic trace anomalies.

Supports validity of AdS/CFT in time-dependent backgrounds.

Extends previous static analyses to dynamic spacetimes.

Abstract

We compute the boundary stress-energies of time-dependent asymptotically AdS spacetimes in 5 and 7 dimensions, and find that their traces are equal to the respective 4 and 6 dimensional field-theoretic trace anomalies. This provides good supporting evidence in favour of the AdS/CFT correspondence in time-dependent backgrounds.