New hairy black-hole solutions with a dilaton potential

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In this Subject: Nuclear Physics
By this author: Eugen Radu ;&nbsp; D.H. Tchrakian

Authors: Eugen Radu; D.H. Tchrakian

Source: Classical and Quantum Gravity, Volume 22, Number 5, 7 March 2005 , pp. 879-892(14)

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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( phiv