| Summary: | 博士 === 國立臺灣大學 === 天文物理研究所 === 102 === We investigate the Harlow-Hayden conjecture [that it takes a vastly longer time to decode Hawking radiation than the lifetime of a black hole] in the context of charged
black holes with flat event horizon in AdS spacetime. This is motivated by the fact that in the application of the anti-de Sitter/conformal field theory [AdS/CFT] correspondence, such black holes are dual to a field theory that behaves very much like a Quark-Gluon Plasma [QGP], and are thus arguably the most well-understood quantum gravity system, especially when charged black holes are concerned.
It is essential to study charged black holes because even neutral black holes inevitably pick up electrical charges as they evaporate. By modeling Hawking evaporation using an extension of the Hiscock and Weems analysis, we show that charged flat black holes inevitably evolve towards the extremal limit, and are destroyed either by brane pair production induced by the Seiberg-Witten instability, or by a phase transition into a type of soliton. The lifetime of such black holes is thus cut short as Harlow and Hayden require, in order to evade the firewall argument.
In a curved geometry, a small area can bound an arbitrarily large volume, so we also investigate the possibility that black holes can store a huge amount of information
behind its horizon. Since black holes are formed from gravitational collapse, it would be interesting to see if non-black hole configurations can behave in such a manner. Such a “monster”, if it exists, could be the stage that leads to a black hole with arbitrarily large interior. Again, by investigating the issue in AdS, we found that monsters most probably don’t exist in quantum gravity. This suggests – although it does not prove – that realistic black holes formed from collapse do not have arbitrarily large interior volume.
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