Global behavior of solutions to the static spherically symmetric EYM equations

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dc.creatorOliynyk, Todd A.
dc.creatorKunzle, H. P.
dc.date2002-07-04
dc.date.accessioned2026-07-07T11:08:39Z
dc.date.available2026-07-07T11:08:39Z
dc.descriptionThe set of all possible spherically symmetric magnetic static Einstein-Yang-Mills field equations for an arbitrary compact semi-simple gauge group $G$ was classified in two previous papers. Local analytic solutions near the center and a black hole horizon as well as those that are analytic and bounded near infinity were shown to exist. Some globally bounded solutions are also known to exist because they can be obtained by embedding solutions for the $G=SU(2)$ case which is well understood. Here we derive some asymptotic properties of an arbitrary global solution, namely one that exists locally near a radial value $r_{0}$, has positive mass $m(r)$ at $r_{0}$ and develops no horizon for all $r>r_{0}$. The set of asymptotic values of the Yang-Mills potential (in a suitable well defined gauge) is shown to be finite in the so-called regular case, but may form a more complicated real variety for models obtained from irregular rotation group actions.
dc.description43 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0207022
dc.identifierhttp://arxiv.org/abs/gr-qc/0207022
dc.identifierClass.Quant.Grav.20:4653-4682,2002
dc.identifierdoi:10.1088/0264-9381/20/21/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190208
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGlobal behavior of solutions to the static spherically symmetric EYM equations
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