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Boundary signature of singularity in the presence of a shock wave

Gary T. Horowitz, Henry Leung, Leonel Queimada, Ying Zhao

SciPost Phys. 16, 060 (2024) · published 28 February 2024

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.


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