Phys. Rev. D 62, 084013 (2000) [14 pages]Black hole scanReceived 29 March 2000; published 22 September 2000 Gravitation theories selected by requiring that they have a unique anti–de Sitter vacuum with a fixed cosmological constant are studied. For a given dimension d, the Lagrangians under consideration are labeled by an integer k=1,2,…,[(d-1)/2]. Black holes for each d and k are found and are used to rank these theories. A minimum possible size for a localized electrically charged source is predicted in the whole set of theories, except general relativity. It is found that the thermodynamic behavior falls into two classes: If d-2k=1, these solutions resemble the three dimensional black hole; otherwise, their behavior is similar to the Schwarzschild-AdS4 geometry. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.084013
DOI:
10.1103/PhysRevD.62.084013
PACS:
04.50.+h, 04.20.Jb, 04.70.-s
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