Causality Violation and Naked Time Machines in AdS_5

Details Causality Violation and Naked Time Machines in AdS_5 Causality Violation and Naked Time Machines in AdS_5

2001-03-16

arxiv.org/abs/hep-th/0103133v4

JHEP 0105 (2001) 014

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, Latex, uses JHEP.cls, 1 figure. v3: comments on unitarity in CFT and 2 references added. v4: changes in final remark

Scientific paper

10.1088/1126-6708/2001/05/014

We study supersymmetric charged rotating black holes in AdS$_5$, and show that closed timelike curves occur outside the event horizon. Also upon lifting to rotating D3 brane solutions of type IIB supergravity in ten dimensions, closed timelike curves are still present. We believe that these causal anomalies correspond to loss of unitarity in the dual ${\cal N}=4$, D=4 super Yang-Mills theory, i.e. the chronology protection conjecture in the AdS bulk is related to unitarity bounds in the boundary CFT. We show that no charged or uncharged geodesic can penetrate the horizon, so that the exterior region is geodesically complete. These results still hold true in the quantum case, i.~e.~the total absorption cross section for Klein-Gordon scalars propagating in the black hole background is zero. This suggests that the effective temperature is zero instead of assuming the naively found imaginary value.

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