Phys. Rev. D 67, 024008 (2003) [3 pages]de Sitter black hole with a conformally coupled scalar field in four dimensionsReceived 31 May 2002; published 15 January 2003 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 the scalar field has a divergence inside the event horizon. The electrically charged solution, which has a fixed charge-to-mass ratio, is also found. The quartic self-interacting coupling constant becomes bounded in terms of Newton’s constant and the cosmological constant. The solution satisfies both dominant and the strong energy conditions. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.024008
DOI:
10.1103/PhysRevD.67.024008
PACS:
04.20.Jb, 04.40.Nr, 04.70.Bw
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