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

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

1999-01-05

arxiv.org/abs/hep-th/9901012v2

JHEP 9902 (1999) 010

Physics

High Energy Physics

High Energy Physics - Theory

Minor corrections, references added

Scientific paper

10.1088/1126-6708/1999/02/010

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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