Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-29
Phys.Rev.D62:084013,2000
Physics
High Energy Physics
High Energy Physics - Theory
Two columns, revtex, 15 pages, 5 figures, minor typos corrected, final version for Journal
Scientific paper
10.1103/PhysRevD.62.084013
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-AdS_4 geometry.
Crisostomo Juan
Troncoso Ricardo
Zanelli Jorge
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