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Boundary signature of singularity in the presence of a shock wave

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arxiv 2310.03076 v2 pith:BEBATPN6 submitted 2023-10-04 hep-th gr-qc

Gary T. Horowitz , Henry Leung , Leonel Queimada , Ying Zhao This is my paper · ORCID
classification hep-thgr-qc
keywords singularityboundarytwo-pointdownfunctionmattershockwave
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. OPE = QNM

    hep-th 2026-07 conditional novelty 7.5 of 10

    OPE and QNM representations of the mixed retarded correlator overlap in complex time, giving an explicit map, sum rules, and new QNM asymptotics for large-N thermal CFTs.

  2. New bulk cone singularities in Vaidya-like spacetimes from large $c$ conformal blocks

    hep-th 2024-11 conditional novelty 7.0 of 10

    In a time-symmetric Vaidya-like spacetime, radial null geodesics create boundary bulk-cone singularities only when r_+ < l, and a large-c CFT2 computation reproduces the exact singularity time.

  3. Imprint of the black hole interior on thermal four-point correlators

    hep-th 2025-12 conditional novelty 6.0 of 10

    Analytically continuing and smearing thermal four-point correlators turns them into flat-space scattering amplitudes at a bulk point inside the black hole.

  4. Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter

    hep-th 2025-01 conditional novelty 6.0 of 10

    The paper derives eikonal quasinormal mode frequencies and shock-wave switchback delays in Schwarzschild-de Sitter for arbitrary mass, using static-sphere observers and reflecting boundary conditions.

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