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

Linden, Alexander

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

Existence of oscillating solutions of Einstein ${SU}(2)$ Yang-Mills equations
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by Alexander N. Linden PDF

Trans. Amer. Math. Soc. 359 (2007), 5125-5139 Request permission

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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