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Conformally coupled scalar solitons and black holes with negative cosmological constant

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arxiv gr-qc/0503095 v2 pith:FNUBZ3O7 submitted 2005-03-22 gr-qc hep-th

Eugen Radu , Elizabeth Winstanley This is my paper · ORCID
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keywords scalarsolutionsblackconformallyconstantcosmologicalcoupledfield
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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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  1. Primary scalar hair in Gauss-Bonnet black holes with Thurston horizons

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    In Einstein-Gauss-Bonnet gravity at the Chern-Simons point, exact asymptotically locally AdS5 black holes with primary scalar hair exist for Nil, Solv, and SL(2,R) Thurston horizon geometries.

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