Black holes, shock waves, and causality in the AdS/CFT correspondence | Zendy

Gary T. Horowitz | Zendy; Nissan Itzhaki | Zendy

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Black holes, shock waves, and causality in the AdS/CFT correspondence

Author(s) -

Gary T. Horowitz,

Nissan Itzhaki

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/02/010

Subject(s) - physics , light cone , causality (physics) , black hole (networking) , gravitational wave , tensor (intrinsic definition) , shock wave , classical mechanics , stress–energy tensor , theoretical physics , quantum electrodynamics , mathematical physics , quantum mechanics , mechanics , geometry , exact solutions in general relativity , mathematics , link state routing protocol , computer network , routing protocol , routing (electronic design automation) , computer science

We find the expectation value of the energy-momentum tensor in the CFTcorresponding to a moving black hole in AdS. Boosting the black hole to thespeed of light, keeping the total energy fixed, yields a gravitational shockwave in AdS. The analogous procedure on the field theory side leads to ``lightcone'' states, i.e., states with energy-momentum tensor localized on the lightcone. The correspondence between the gravitational shock wave and these lightcone states provides a useful tool for testing causality. We show, in severalexamples, how the CFT reproduces the causal relations in AdS.Comment: Minor corrections, references adde

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