Smooth static solutions of the Einstein/Yang-Mills equations
نویسندگان
چکیده
منابع مشابه
Smooth Static Solutions of the Einstein-yang/mills Equation
We consider the Einstein/Yang-Mills equations in 3 + 1 space time dimensions with SU(2) gauge group and prove rigorously the existence of a globally defined smooth static solution. We show that the associated Einstein metric is asymptotically flat and the total mass is finite. Thus, for non-abelian gauge fields the Yang/Mills repulsive force can balance the gravitational attractive force and pr...
متن کاملSmooth Static Solutions of the Einstein/Yang-Miils Equations
We consider the Einstein/Yang-Mills equations in 3 + 1 space time dimensions with SU(2) gauge group and prove rigorously the existence of a globally defined smooth static solution. We show that the associated Einstein metric is asymptotically flat and the total mass is finite. Thus, for non-abelian gauge fields the Yang-Mills repulsive force can balance the gravitational attractive force and pr...
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Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised (“particle-like”) solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20 years, yet their properties are still not well understood. Spherically symmetric Yang–Mills fields are classified by a choice of isotropy generator and SO(5) is ...
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We consider static spherically symmetric solutions of the Einstein equations with cosmological constant Λ coupled to the SU(2) Yang Mills equations. We prove that under relatively mild conditions, any solution can be continued back to the origin of spherical symmetry and that the qualitative behavior of the solutions near the origin does not depend on Λ.
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We consider static spherically symmetric solutions of the Einstein equations with cosmological constant Λ coupled to the SU(2) Yang Mills equations that are smooth at the origin r = 0. We prove that all such solutions have a radius rc at which there is a horizon. However, for any positive integer N , there exists a small positive ΛN , such that whenever 0 < Λ < ΛN , there exist at least N disti...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1991
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02100288