2004/10/31 by Eugen Radu, D. H. Tchrakian, D H Tchrakian · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #Dilaton #Field (mathematics) #Gauge (firearms) #Infinity #Supergravity #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/22/5/008
published as Class.Quant.Grav. 22 (2005) 879-892 · 12 pages, 4 figures; v2:references added, typos corrected, small changes in Section 4
arxiv created 2005/01/19 · openalex publication_date 2005/02/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider black-hole solutions with a dilaton field possessing a nontrivial potential approaching a constant negative value at infinity. The asymptotic behaviour of the dilaton field is assumed to be slower than that of a localized distribution of matter. A non-Abelian SU (2) gauge field is also included in the total action. The mass of the solutions admitting a power series expansion in 1/ r at infinity and preserving the asymptotic anti-de Sitter geometry is computed by using a counterterm subtraction method. Numerical arguments are presented for the existence of hairy black-hole solutions for a dilaton potential of the form V (ϕ) = C 1 exp(2α 1 ϕ) + C 2 exp(2α 2 ϕ) + C 3 , special attention being paid to the case of the gauged supergravity model of Gates and Zwiebach.