×

zbMATH — the first resource for mathematics

Colored black holes. (English) Zbl 1050.83506
Summary: We analyze the static spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group and show numerically that the equations possess asymptotically flat solutions with regular event horizon and nontrivial Yang-Mills (YM) connection. The solutions have zero global YM charges and asymptotically approximate the Schwarzschild solution with quantized values of the Arnowitt-Deser-Misner mass. Our result questions the validity of the “no-hair” conjecture for YM black holes. This work complements the recent study of Bartnik and McKinnon on static spherically symmetric Einstein-Yang-Mills soliton solutions.

MSC:
83C57 Black holes
83C15 Exact solutions to problems in general relativity and gravitational theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] R. Bartnik, Phys. Rev. Lett. 61 pp 141– (1988)
[2] A. Lichnerowicz, in: Les Theories Relativistes de la Gravitation (1955)
[3] S. Deser, Phys. Lett. 64B pp 463– (1976)
[4] S. Coleman, in: New Phenomena in Subnuclear Physics (1975)
[5] P. B. Yasskin, Phys. Rev. D 12 pp 2212– (1975)
[6] M. Perry, Phys. Lett. 71B pp 234– (1977)
[7] W. Israel, Commun. Math. Phys. 8 pp 245– (1968)
[8] D. C. Robinson, Phys. Rev. Lett. 34 pp 905– (1977)
[9] P. Mazur, J. Phys. A 15 pp 3173– (1982) · Zbl 1141.83304
[10] B. Carter, in: Gravitation in Astrophysics (1987)
[11] J. D. Bekenstein, Phys. Rev. Lett. 28 pp 452– (1972)
[12] J. D. Bekenstein, Phys. Rev. D 5 pp 1239– (1972)
[13] J. D. Bekenstein, Phys. Rev. D 5 pp 2403– (1972)
[14] E. Witten, Phys. Rev. Lett. 38 pp 121– (1977)
[15] D. V. Galtsov, Phys. Lett. A 138 pp 160– (1989)
[16] W. H. Press, in: Numerical Recipes: The Art of Scientific Computing (1985)
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.