STRINGY SPHALERONS AND GAUSS--BONNET TERM

Abstract

The effect of the Gauss--Bonnet term on the SU(2) non--Abelian regular stringy sphaleron solutions is studied within the non--perturbative treatment. It is found that the existence of regular solutions depends crucially on the value of the numerical factor $\beta$ in front of the Gauss--Bonnet term in the four--dimensional effective action. Numerical solutions are constructed in the N=1, 2, 3 cases for different $\beta$ below certain critical values ${\beta }_N$ which decrease with growing N (N being the number of nodes of the Yang--Mills function). It is proved that for any static spherically symmetric asymptotically flat regular solution the ADM mass is exactly equal to the dilaton charge. No solutions were found for $\beta$ above critical values, in particular, for $\beta =1$.

Latex, 9 pages (27 Kb), figures upon request

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• Anomalous Fermion Production in Gravitational Collapse
• Einstein-Yang-Mills Theory with a Massive Dilaton and Axion: String-Inspired Regular and Black Hole Solutions
• Charged Stringy Black Holes With Non-Abelian Hair
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• Extremal dyonic black holes in D=4 Gauss-Bonnet gravity
• Stable black hole solutions with non-Abelian fields
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• Black Holes and Naked Singularities in Low Energy Limit of String Gravity with Modulus Field
• A 5-Dimensional Spherical Symmetric Solution in Einstein-Yang-Mills Theory With Gauss-Bonnet Term