Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (1)
- Authors
- Krivonosov, Leonid N.; Lukyanov, Vyacheslav A.
- Contact information
- Krivonosov, Leonid N.: Nizhegorodsky University , Minin, 24, Nizhny Novgorod, 603950, Russia; Lukyanov, Vyacheslav A.: Zavolzhsky Branch, Nizhegorodsky University , Pavlovsky, 1a, Zavolzh’e, 606520, Russia , e-mail:
- Keywords
- Einstein equations; Maxwell’s equations; Yang-Mills equations; manifold with conformal connection
- Abstract
We deduce the purely time-depending Yang-Mills equations in a space with conformal torsion-free connection. Next we find three series of solutions to these equations and study which of them give the Einstein metric or a metric conformally equivalent to it. Also, various representations of these solutions with and without singularities are presented.
- Pages
- 40-52
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/8703
Journal of Siberian Federal University. Mathematics & Physics / Purely Time-dependent Solutions to the Yang-Mills Equations on a 4-dimensional Manifold with Conformal Torsion-free Connection
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