4-dimensional dilaton black holes with cosmological constant

Abstract

Static and spherically symmetric black hole solutions with non-zero cosmological constant are investigated. A formal power series solution is found. It is proved that the number of regular horizons is less than or equal to 2 for positive cosmological constant and is less than or equal to 1 for negative cosmological constant. This shows a striking contrast to the fact that the Reissner-Nordstrm-de Sitter black hole with positive cosmological horizon has 3 regular horizons.

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