Towards Timelike Singularity via AdS Dual

TL;DR

This paper constructs a gravity dual for a Kasner-like geometry with a timelike singularity and analyzes extremal surfaces and correlators in the boundary field theory, extending the AdS/CFT correspondence to new singularity types.

Contribution

It introduces a novel dual gravity description for a Kasner-like geometry with timelike singularity, expanding the scope of AdS/CFT correspondence.

Findings

Existence of a dual gravity description for timelike singularities.

Analysis of extremal surfaces in the new geometry.

Calculation of correlators using geodesic approximation.

Abstract

It is well known that Kasner geometry with space-like singularity can be extended to bulk AdS-like geometry, furthermore one can study field theory on this Kasner space via its gravity dual. In this paper, we show that there exists a Kasner-like geometry with timelike singularity for which one can construct a dual gravity description. We then study various extremal surfaces including space-like geodesics in the dual gravity description. Finally, we compute correlators of highly massive operators in the boundary field theory with a geodesic approximation.