English

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

High Energy Physics - Theory 2009-11-07 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.hep-th/0205319,
  title  = {de Sitter black hole with a conformally coupled scalar field in four dimensions},
  author = {Cristian Martinez and Ricardo Troncoso and Jorge Zanelli},
  journal= {arXiv preprint arXiv:hep-th/0205319},
  year   = {2009}
}

Comments

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