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New hairy black hole solutions with a dilaton potential

Eugen Radu·D. H. Tchrakian
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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 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 $V(ϕ)=C_1 \exp(2α_1 ϕ)+C_2 \exp(2α_2 ϕ)+C_3$, special attention being paid to the case of ${\cal N}=4, D=4$ gauged supergravity model of Gates and Zwiebach.

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Eugen Radu, D. H. Tchrakian. 2005-01-19. New hairy black hole solutions with a dilaton potential. https://doi.org/10.1088/0264-9381%2F22%2F5%2F008

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