Charged Dilaton Black Holes with a Cosmological Constant

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

12 pages, epsf, phyzzx, 4 in-text figures incl. (minor typos fixed, 1 reference added)

Scientific paper

10.1103/PhysRevD.51.5720

The properties of static spherically symmetric black holes, which are either electrically or magnetically charged, and which are coupled to the dilaton in the presence of a cosmological constant, are considered. It is shown that such solutions do not exist if the cosmological constant is positive (in arbitrary spacetime dimension >= 4). However, asymptotically anti-de Sitter black hole solutions with a single horizon do exist if the cosmological constant is negative. These solutions are studied numerically in four dimensions and the thermodynamic properties of the solutions are derived. The extreme solutions are found to have zero entropy and infinite temperature for all non-zero values of the dilaton coupling constant.

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