Spherically expanding matter in AdS/CFT

TL;DR

This paper presents an exact time-dependent solution in 5d AdS gravity that models expanding gauge theory matter, analyzing boundary energy-momentum and entropy, and showing perfect fluid behavior at late times.

Contribution

It introduces a novel exact time-dependent AdS solution with O(3) symmetry that models expanding matter in the boundary gauge theory.

Findings

Boundary energy-momentum tensor and entropy density are computed.

At large times, the boundary theory exhibits perfect fluid behavior.

Time dependence is incompatible with Minkowski boundary metric.

Abstract

We discuss an exact time dependent O(3) symmetric solution with a horizon of the 5d AdS classical gravity equations searching for a 4d boundary theory which would correspond to expanding gauge theory matter. The boundary energy-momentum tensor and entropy density are computed. The boundary metric is the flat Friedmann one and any time dependence on the boundary is incompatible with Minkowski metric. However, at large times when curvature effects are negligible, perfect fluid behavior arises in a natural way.