Existence of black hole solutions for the Einstein / Yang-Mills equations

Smoller, J.A.; Wasserman, A.G.; Yau, Shing-Tung

doi:10.1007/BF02097002

Existence of black hole solutions for the Einstein / Yang-Mills equations

1993

25 pages

Published in:

Commun.Math.Phys. 154 (1993) 377-401

DOI:

10.1007/BF02097002

reference search86 citations

Citations per year

Abstract: (Springer)

This paper provides a rigorous proof of the existence of an infinite number of black hole solutions to the Einstein-Yang/Mills equations with gauge groupSU(2), for any event horizon. It is also demonstrated that the ADM mass of each solutions is finite, and that the corresponding Einstein metric tends to the associated Schwarzschild metric at a rate 1/r2, asr tends to infinity.

gauge field theory: SU(2)
Einstein equation: solution
black hole
mass
functional analysis

References(0)

Figures(0)

0 References