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

By Cristián Martínez, Ricardo Troncoso, J. Zanelli. 2002

153 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6d088276d28655384e6682c46e668683dd9fa6f5

Citations in the corpus

• Boundary charges in gauge theories: using Stokes theorem in the bulk (2003, unknown): “In future work, we plan to study general conditions under which the n − 2 forms are path independent and apply the formalism to more complicated theories, for instance the higher curvature gravity theories considered in [38, 8, 39, 40], or more exotic black hole solutions involving scalar fields lik”