Non-vacuum AdS cosmology and comments on gauge theory correlator

TL;DR

This paper explores non-vacuum Kasner-AdS geometries with matter, analyzing their embeddings and geodesics to compute boundary correlators, advancing understanding of time-dependent AdS cosmologies.

Contribution

It introduces methods to embed non-vacuum Kasner-AdS spacetimes in higher dimensions and computes boundary correlators using geodesic approximation.

Findings

Embedded non-vacuum Kasner-AdS geometries in higher dimensions.

Computed two-point correlators via geodesic approximation.

Analyzed space-like geodesics in these backgrounds.

Abstract

Several time dependent backgrounds, with perfect fluid matter, can be used to construct solutions of Einstein equations in the presence of a negative cosmological constant along with some matter sources. In this work we focus on the non-vacuum Kasner-AdS geometry and its solitonic generalization. To characterize these space-times, we provide ways to embed them in higher dimensional flat space-times. General space-like geodesics are then studied and used to compute the two point boundary correlators within the geodesic approximation.