Existence of oscillating solutions of Einstein 𝑆𝑈(2) Yang-Mills equations

Linden, Alexander

doi:10.1090/S0002-9947-07-03402-2

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ISSN 1088-6850(online) ISSN 0002-9947(print)

Existence of oscillating solutions of Einstein Yang-Mills equations

Author: Alexander N. Linden
Journal: Trans. Amer. Math. Soc. 359 (2007), 5125-5139
MSC (2000): Primary 83C20
Posted: June 4, 2007
MathSciNet review: 2327024
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Abstract: We give a rigorous proof that for small positive values of the cosmological constant the Einstein equations coupled to an SU(2) Yang-Mills connection yield oscillating spacetimes. These are static, spherically symmetric spacetimes that have the same topology as particle-like spacetimes but differ in geometry. We also give a strict upper bound on values of the cosmological constant that admit such spacetimes.

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