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Spherically symmetric static SU(2) Einstein-Yang-Mills fields. (English) Zbl 0701.53091

Summary: The discrete family of global solutions of the static spherically symmetric SU(2) Einstein-Yang-Mills equations that were recently numerically obtained by R. Bartnik and J. McKinnon [Phys. Rev. Lett. 61, 141-144 (1988)] is studied in greater detail, both numerically and analytically. A similar discrete sequence of numerical solutions outside a regular event horizon is shown to exist for every radius of the horizon.

MSC:

53B50 Applications of local differential geometry to the sciences
81T13 Yang-Mills and other gauge theories in quantum field theory
Full Text: DOI

References:

[1] DOI: 10.1103/PhysRevLett.61.141 · doi:10.1103/PhysRevLett.61.141
[2] DOI: 10.1007/BF01217967 · Zbl 0661.53064 · doi:10.1007/BF01217967
[3] DOI: 10.1016/0370-2693(76)90122-2 · doi:10.1016/0370-2693(76)90122-2
[4] DOI: 10.1016/0375-9601(89)90019-4 · doi:10.1016/0375-9601(89)90019-4
[5] DOI: 10.1103/PhysRevD.12.2212 · doi:10.1103/PhysRevD.12.2212
[6] DOI: 10.1007/BF00417502 · Zbl 0451.58013 · doi:10.1007/BF00417502
[7] DOI: 10.1103/PhysRevLett.38.121 · doi:10.1103/PhysRevLett.38.121
[8] DOI: 10.1103/PhysRevD.36.1874 · doi:10.1103/PhysRevD.36.1874
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