2009/07/31 by Dominic Hosler, Elizabeth Winstanley
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Coupling constant #Curvature #Field (mathematics) #General relativity #Geometry #Mathematical physics #Mathematics #Nonlinear system #Physics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar curvature #Scalar field #Scalar theories of gravitation #Soliton #gr-qc
paper · pdf · doi:10.1103/physrevd.80.104010
published as Phys.Rev.D80:104010,2009 · 17 pages, revtex4, 21 figures, minor changes to match published version
openalex publication_date 2009/11/09 · arxiv created 2012/06/11 · arxiv updated 2012/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study higher-dimensional soliton and hairy black hole solutions of the Einstein equations nonminimally coupled to a scalar field. The scalar field has no self-interaction potential but a cosmological constant is included. Nontrivial solutions exist only when the cosmological constant is negative and the constant governing the coupling of the scalar field to the Ricci scalar curvature is positive. At least some of these solutions are stable when this coupling constant is not too large.