Superradiance and statistical entropy of hairy black hole in three dimensions

Abstract

We calculate the statistical entropy of a rotating hairy black hole by taking into account superradiant modes in the brick wall method. The UV cutoff is independent of the gravitational hair, which gives the well-defined area law of the entropy. It can be shown that the angular momentum and the energy of matter field depend on the gravitational hair. For the vanishing gravitational hair, it turns out that the energy for matter is related to both the black hole mass and the black hole angular momentum whereas the angular momentum for matter field is directly proportional to the angular momentum of the black hole.

8 pages, no figure, version to appear in PRD

References in corpus (5)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• Holographic Renormalization and Stress Tensors in New Massive Gravity