Entropy of extremal black holes in asymptotically anti-de Sitter spacetime

Abstract

Unlike the extremal Reissner - Nordström black hole in ordinary spacetime, the one in anti-de Sitter spacetime is a minimum of action and has zero entropy if quantization is carried out after extremalization. However, if extremalization is carried out after quantization, then the entropy is a quarter of the area as in the usual case.

LaTeX, 9 pages; post-publication correction of sign-convention related errors

Cited by in corpus (12)

• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Classical instability of Kerr-AdS black holes and the issue of final state
• Thermodynamics of charged anti-de Sitter black holes in canonical ensemble
• Entropy of an extremal electrically charged thin shell and the extremal black hole
• Evidence for a null entropy of extremal black holes
• Entropy of extremal black holes: horizon limits through charged thin shells, a unified approach
• Geometry and topology of two kinds of extreme Reissner-Nordstr$\ddot{o}$m-anti-de Sitter black holes
• Thermodynamics Of dilaton-axion black holes
• Exploring critical behavior of thermodynamic variables of the Kerr-Newman-AdS black hole in the restricted phase space
• A note on the entropy of charged multi - black - holes
• Extreme black hole entropy obtained in an operational approach
• Entropy of extreme three-dimensional charged black holes