FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 233-244

Exact solutions of wormhole type in Einstein--Yang--Mills-systems with extra space-time dimensions

I. P. Volobuev
V. O. Malyshenko

Abstract

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We consider an Einstein--Yang--Mills-system in multidimentional space-time $E = R \times S^{3}\times G_{2,5}$ and derive euclideanized equations of motion in the sector of $SO(4)\times SO(5)$-symmetric gauge fields for the case of the gauge group $SU(m)$. Both static and time-dependent exact wormhole type solutions to these equations are explicitly found.

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