Boundary signature of singularity in the presence of a shock wave

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

doi:10.21468/SciPostPhys.16.2.060

SciPost Physics

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

doi: 10.21468/SciPostPhys.16.2.060
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.2.060
TI  - Boundary signature of singularity in the presence of a shock wave
PY  - 2024/02/28
UR  - https://www.scipost.org/SciPostPhys.16.2.060
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 2
SP  - 060
A1  - Horowitz, Gary T.
AU  - Leung, Henry
AU  - Queimada, Leonel
AU  - Zhao, Ying
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.2.060,
	title={{Boundary signature of singularity in the presence of a shock wave}},
	author={Gary T. Horowitz and Henry Leung and Leonel Queimada and Ying Zhao},
	journal={SciPost Phys.},
	volume={16},
	pages={060},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.2.060},
	url={https://scipost.org/10.21468/SciPostPhys.16.2.060},
}

Cited by 6

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¹ Gary T. Horowitz,
¹ Henry Leung,
¹ Leonel Queimada,
² Ying Zhao

Funders for the research work leading to this publication