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