Abstract
In three dimensions, a phase transition occurs between the non-rotating BTZ black hole and the massless BTZ black hole. Further, introducing the mass of a conical singularity, we show that a transition between the non-rotating BTZ black hole and thermal AdS space is also possible.
Highlights
Hawking’s semiclassical analysis for the black hole radiation suggests that most of information in initial states is shield behind the event horizon and is never back to the asymptotic region far from the evaporating black hole[1]
It is closely related to the information loss paradox which states the question of whether the formation and subsequent evaporation of a black hole is unitary
We show that a phase transition occurs between the non-rotating BTZ black hole and the massless BTZ black hole
Summary
Hawking’s semiclassical analysis for the black hole radiation suggests that most of information in initial states is shield behind the event horizon and is never back to the asymptotic region far from the evaporating black hole[1]. Three-dimensional gravity[5] is not directly related to the information loss problem because there is no physically propagating degrees of freedom[6] If this gravity is part of string theory[7], the AdS/CFT correspondence[8] means that the black hole formation and evaporating process should be unitary because its boundary can be described by a unitary CFT. Some authors have proposed that this transition is possible in three-dimensional spacetimes: transition between the non-rotating BTZ black hole and thermal AdS space[11, 12]. If one introduces the mass of a conical singularity, a transition between the non-rotating BTZ black hole and thermal AdS space is possible. Even though the unstable solution is thermally unstable, it is important as the mediator of phase transition from thermal AdS to AdS black hole
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