de Sitter black hole with a conformally coupled scalar field in four dimensions

Abstract

A four-dimensional black hole solution of the Einstein equations with a positive cosmological constant, coupled to a conformal scalar field, is given. There is a curvature singularity at the origin, and scalar field diverges inside the event horizon. The electrically charged solution, which has a fixed charge-to-mass ratio is also found. The quartic self-interacting coupling becomes bounded in terms of Newton's and the cosmological constants.

5 pages, no figures, CECS style, energy conditions are discussed and some references were added. To appear in Phys. Rev. D

References in corpus (1)

• Black holes and asymptotics of 2+1 gravity coupled to a scalar field

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