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Causality violation and naked time machines
| Venue: | in AdS(5),” hep-th/0103133 |
| Citations: | 15 - 6 self |
BibTeX
@INPROCEEDINGS{Caldarelli_causalityviolation,
author = {M. M. Caldarelli and D. Klemm and W. A. Sabra},
title = {Causality violation and naked time machines},
booktitle = {in AdS(5),” hep-th/0103133},
year = {}
}
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Abstract
We study supersymmetric charged rotating black holes in AdS5, 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. It is argued that these causal anomalies correspond to loss of unitarity in the dual N = 4, D = 4 super Yang-Mills theory, i. e. causality in the AdS bulk is related to unitarity 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.
Keyphrases
naked time machine causality violation timelike curve event horizon quantum case d3 brane solution type iib supergravity super yang-mills theory boundary cft black hole background ad bulk exterior region causal anomaly ten dimension imaginary value black hole uncharged geodesic effective temperature klein-gordon scalar total absorption cross section
