Existence of oscillating solutions of Einstein ${SU}(2)$ Yang-Mills equations
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- by Alexander N. Linden PDF
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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.References
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Additional Information
- Alexander N. Linden
- Affiliation: School of Mathematics and Statistics, University of Canberra, Australian Capital Territory #2601, Australia
- Email: lindena_9@hotmail.com
- Received by editor(s): July 27, 2001
- Received by editor(s) in revised form: October 8, 2002
- Published electronically: June 4, 2007
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 5125-5139
- MSC (2000): Primary 83C20
- DOI: https://doi.org/10.1090/S0002-9947-07-03402-2
- MathSciNet review: 2327024