×
Mavromatos, N. E.; Winstanley, E.

Existence theorems for hairy black holes in \(\mathfrak{su}(N)\) Einstein-Yang-Mills theories. (English) Zbl 0929.53056

J. Math. Phys. 39, No. 9, 4849-4873 (1998).
We establish the existence of hairy black holes in \({\mathfrak {su}}(N)\) Einstein-Yang-Mills theories, described by \(N-1\) parameters, corresponding to the nodes of the gauge field functions. The method used to prove the main theorem of this paper is remarkably simple, drawing only on elementary topological ideas.

Cited in 7 Documents

MSC:

53Z05 Applications of differential geometry to physics
83C57 Black holes
81T20 Quantum field theory on curved space or space-time backgrounds
83C75 Space-time singularities, cosmic censorship, etc.
81T13 Yang-Mills and other gauge theories in quantum field theory

Keywords:

non-abelian Einstein-Yang-Mills theories; existence of hairy black holes

Citations:

Zbl 0809.53081; Zbl 0847.35140; Zbl 0733.53061; Zbl 0779.53056; Zbl 0813.53049
Cite Review PDF
Full Text: DOI arXiv

References:

[1] DOI: 10.1103/PhysRevLett.61.141 · doi:10.1103/PhysRevLett.61.141
[2] DOI: 10.1103/PhysRevLett.64.2844 · Zbl 1050.83506 · doi:10.1103/PhysRevLett.64.2844
[3] DOI: 10.1016/0550-3213(93)90441-Q · Zbl 0990.83508 · doi:10.1016/0550-3213(93)90441-Q
[4] DOI: 10.1016/0550-3213(93)90441-Q · Zbl 0990.83508 · doi:10.1016/0550-3213(93)90441-Q
[5] DOI: 10.1016/0550-3213(93)90441-Q · Zbl 0990.83508 · doi:10.1016/0550-3213(93)90441-Q
[6] DOI: 10.1016/0550-3213(93)90441-Q · Zbl 0990.83508 · doi:10.1016/0550-3213(93)90441-Q
[7] DOI: 10.1016/0550-3213(93)90441-Q · Zbl 0990.83508 · doi:10.1016/0550-3213(93)90441-Q
[8] B. Kleihaus, J. Kunz, and A. Sood, preprint hep-th/9705179.
[9] DOI: 10.1016/0370-2693(95)00664-7 · doi:10.1016/0370-2693(95)00664-7
[10] DOI: 10.1103/PhysRevD.53.3190 · doi:10.1103/PhysRevD.53.3190
[11] DOI: 10.1007/BF02101738 · Zbl 0809.53081 · doi:10.1007/BF02101738
[12] DOI: 10.1063/1.530963 · Zbl 0847.35140 · doi:10.1063/1.530963
[13] DOI: 10.1007/BF02097002 · Zbl 0779.53056 · doi:10.1007/BF02097002
[14] DOI: 10.1088/0264-9381/8/12/013 · Zbl 0733.53061 · doi:10.1088/0264-9381/8/12/013
[15] DOI: 10.1007/BF02102023 · Zbl 0813.53049 · doi:10.1007/BF02102023
[16] O. Brodbeck and N. Straumann, Zürich University preprint, ZU-TH 38/94, gr-qc/9411058.
[17] DOI: 10.1016/0375-9601(90)90113-3 · doi:10.1016/0375-9601(90)90113-3
[18] DOI: 10.1016/0370-2693(94)90652-1 · doi:10.1016/0370-2693(94)90652-1
[19] DOI: 10.1016/0370-2693(89)90867-8 · doi:10.1016/0370-2693(89)90867-8
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.