Fate of three-dimensional black holes coupled to a scalar field and the Bekenstein-Hawking entropy
Mar, 2004Citations per year
Abstract:
Three-dimensional black holes coupled to a self-interacting scalar field is considered. It is known that its statistical entropy Strominger does agree with the Bekenstein-Hawking (BH) entropy. However I show that, by a careful treatment of the vacuum state in the {\it canonical} ensemble with a fixed temperature, which is the same as that of the BTZ black hole without the scalar field, the BH entropy is exactly produced by the Cardy's formula. I discuss its several implications, including the fate of black holes, no-scalar-hair theorems, stability, mirror black holes, and one-loop corrections.- 11.40.-q
- 04.70.Dy
- 04.20.Jb
- Black hole entropy
- Statistical mechanics
- No-hair theorem
- gravitation
- field theory: scalar
- dimension: 3
- black hole
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