Spectrum and Statistical Entropy of AdS Black Holes

Understand

Popular approaches to quantum gravity describe black hole microstates differently and apply different statistics to count them.

• Since the relationship between the approaches is not clear, this obscures the role of statistics in calculating the black hole entropy.
• We address this issue by discussing the entropy of eternal AdS black holes in dimension four and above within the context of a midisuperspace model.
• We determine the black hole eigenstates and find that they describe the quantization in half integer units of a certain function of the Arnowitt-Deser-Misner (ADM) mass and the cosmological constant.