Boundary signature of singularity in the presence of a shock wave

TL;DR

This paper demonstrates how the bending of a black hole singularity caused by infalling matter can be detected holographically through a novel analytic continuation of boundary two-point functions, revealing new insights into black hole interior structure.

Contribution

It introduces a method to detect the singularity's boundary signature holographically using boundary two-point functions in the presence of shock waves.

Findings

Bending down of the singularity can be read from boundary correlators.

Generalization of the thermal product formula for two-point correlators.

Analytic continuation reveals the singularity's boundary signature.

Abstract

Matter falling into a Schwarzschild-AdS black hole from the left causes increased focussing of ingoing geodesics from the right, and, as a consequence, they reach the singularity sooner. In a standard Penrose diagram, the singularity "bends down". We show how to detect this feature of the singularity holographically, using a boundary two-point function. We model the matter with a shock wave, and show that this bending down of the singularity can be read off from a novel analytic continuation of the boundary two-point function. Along the way, we obtain a generalization of the recently proposed thermal product formula for two-point correlators.