New hairy black hole solutions with a dilaton potential

Details New hairy black hole solutions with a dilaton potential New hairy black hole solutions with a dilaton potential

2004-10-13

arxiv.org/abs/hep-th/0410154v2

Class.Quant.Grav. 22 (2005) 879-892

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 4 figures; v2:references added, typos corrected, small changes in Section 4

Scientific paper

10.1088/0264-9381/22/5/008

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 nonabelian 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 $V(\phi)=C_1 \exp(2\alpha_1 \phi)+C_2 \exp(2\alpha_2 \phi)+C_3$, special attention being paid to the case of ${\cal N}=4, D=4$ gauged supergravity model of Gates and Zwiebach.

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