Abstract
We study the global behaviour of static, spherically symmetric solutions of the Einstein-Yang-Mills equations with gauge groupSU(2). Our analysis results in three disjoint classes of solutions with a regular origin or a horizon. The 3-spaces (t=const.) of the first, generic class are compact and singular. The second class consists of an infinite family of globally regular, resp. black hole solutions. The third type is an oscillating solution, which although regular is not asymptotically flat.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bartnik, R., McKinnon, J.: Phys. Rev. Lett.61, 141 (1988)
Künzle, H.P., Masood-ul-Alam, A.K.M.: J. Math. Phys.31, 928 (1990)
Volkov, M.S., Galtsov, D.V.: JETP Lett.50, 346 (1989)
Bizon, P.: Phys. Rev. Lett.64, 2844 (1990)
Smoller, J.A., Wasserman, A.G., Yau, S.T., McLeod, J.B.: Commun. Math. Phys.143, 115 (1991)
Smoller, J.A., Wasserman, A.G.: Commun. Math. Phys.151, 303 (1993)
Smoller, J.A., Wasserman, A.G., Yau, S.T.: Commun. Math. Phys.154, 377 (1993)
Wheeler, J.A.: In: Relativity, Groups and Topology. DeWitt, C., DeWitt, B. (eds.), New York: gordon & Breach, 1964
Bergmann, P.G., Cahen, M., Komar, A.B.: J. Math. Phys.6, 1 (1965)
Dashen, R.F., Hasslacher, B., Neveu, A.: Phys. Rev. D10, 4138 (1974);
Witten, E.: Phys. Rev. Lett.38, 121 (1977)
Forgács, P., Manton, N.S.: Commun. Math. Phys.72, 15 (1980)
Bizon, P., Popp, O.T.: Class. Quant. Grav.9, 193 (1992)
Coddington, E.A., Levinson, N.: Theory of Ordinary Differential Equations. New York: McGraw-Hill, 1955
Anosov, D.V., Arnold, V.I. (eds.), Dynamical Systems I. New York: Springer, 1988
Wu, T.T., Yang, C.N.: In: Properties of Matter under Unusual Conditions. Mark, H., Fernbach, S. (eds.), New York: Interscience, 1969
Protogenov, A.P.: Phys. Lett. B87, 80 (1979)
Coleman, S.: In: New Phenomena in Subnuclear Physics. Zichichi, A. (ed.), New York: Plenum, 1975; Deser, S.: Phys. Lett. B64, 463 (1976)
Galtsov, D.V., Ershov, A.A.: Phys. Lett. A138, 160 (1989)
Author information
Authors and Affiliations
Additional information
Communicated by S.-T. Yau
This article was processed by the author using the Springer-Verlag TEX CoMaPhy macro package 1991.
Rights and permissions
About this article
Cite this article
Breitenlohner, P., Forgács, P. & Maison, D. Static spherically symmetric solutions of the Einstein-Yang-Mills equations. Commun.Math. Phys. 163, 141–172 (1994). https://doi.org/10.1007/BF02101738
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02101738