Classical and thermodynamical aspects of black holes with conformally coupled scalar field hair

Abstract

We discuss the existence, stability and classical thermodynamics of four-dimensional, spherically symmetric black hole solutions of the Einstein equations with a conformally coupled scalar field. We review the solutions existing in the literature with zero, positive and negative cosmological constant. We also outline new results on the thermodynamics of these black holes when the cosmological constant is non-zero.

19 pages, 8 figures, talk given at the `Workshop on Dynamics and Thermodynamics of Black Holes and Naked Singularities', Milan, May 2004

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