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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevD.67.024008

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.

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