New hairy black-hole solutions with a dilaton potential
Authors: Eugen Radu; D.H. Tchrakian
Source: Classical and Quantum Gravity, Volume 22, Number 5, 7 March 2005 , pp. 879-892(14)
Publisher: Institute of Physics Publishing
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Abstract:
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(
) = C1exp(2
1) + C2exp(22) + C3, special attention being paid to the case of the &{cal N}=4, D=4 ; gauged supergravity model of Gates and Zwiebach.
Document Type: Research article
DOI: 10.1088/0264-9381/22/5/008
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