Charged Dilaton Black Holes with a Cosmological Constant

Abstract

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.

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

References in corpus (9)

• Pair Creation of Dilaton Black Holes
• Black Holes with a Massive Dilaton
• Global properties of static spherically symmetric charged dilaton spacetimes with a Liouville potential
• Black Holes in Higher Derivative Gravity Theories
• Multi-black hole solutions in cosmological Einstein-Maxwell-dilaton theory
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