Conformally coupled scalar solitons and black holes with negative cosmological constant

Details Conformally coupled scalar solitons and black holes with negative cosmological constant Conformally coupled scalar solitons and black holes with negative cosmological constant

2005-03-22

arxiv.org/abs/gr-qc/0503095v2

Phys.Rev. D72 (2005) 024017

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 10 figures, minor changes, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.024017

We present arguments for the existence of both globally regular and black hole solutions of the Einstein equations with a conformally coupled scalar field, in the presence of a negative cosmological constant, for space-time dimensions greater than or equal to four. These configurations approach asymptotically anti-de Sitter spacetime and are indexed by the central value of the scalar field. We also study the stability of these solutions, and show that, at least for all the solutions studied numerically, they are linearly stable.

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