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arXiv · hep-th/9901012

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

Gary T. Horowitz·N. Itzhaki
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Abstract

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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Gary T. Horowitz, N. Itzhaki. 1999-01-13. Black Holes, Shock Waves, and Causality in the AdS/CFT Correspondence. https://doi.org/10.1088/1126-6708%2F1999%2F02%2F010

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