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Black Holes, Shock Waves, and Causality in the AdS/CFT Correspondence

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arxiv hep-th/9901012 v2 pith:XEPPBQGO submitted 1999-01-05 hep-th gr-qc

Gary T. Horowitz , N. Itzhaki This is my paper · ORCID
classification hep-thgr-qc
keywords lightblackconeshockstatescausalitycorrespondenceenergy-momentum
verification ladder T0 review T1 audit T2 compute T3 formal
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We find the expectation value of the energy-momentum tensor in the CFT corresponding to a moving black hole in AdS. Boosting the black hole to the speed of light, keeping the total energy fixed, yields a gravitational shock wave in AdS. The analogous procedure on the field theory side leads to ``light cone'' states, i.e., states with energy-momentum tensor localized on the light cone. The correspondence between the gravitational shock wave and these light cone states provides a useful tool for testing causality. We show, in several examples, how the CFT reproduces the causal relations in AdS.

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Cited by 4 Pith papers

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  3. Probing Black Hole Thermal Effects in the Dual CFT via Wave Packets

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    In the AdS3/BTZ holographic setup, the expectation value of a scalar primary in a bulk wave-packet state exhibits temperature-dependent exponential decay along the light cone, absent at zero temperature, while the ene...

  4. The entropy of radiation for local quenches in higher dimensions

    hep-th 2025-01 conditional novelty 5.0 of 10

    For local quenches in d>2 CFTs, the excess entanglement entropy of radiation grows as ξ^{d/2} at early and late times, obeys an all-time relative-entropy bound, and the holographic model produces a Page-like curve.

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