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

DOI:
https://doi.org/10.1090/S0002-9947-07-03402-2

Published electronically:
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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Additional Information

**Alexander N. Linden**

Affiliation:
School of Mathematics and Statistics, University of Canberra, Australian Capital Territory #2601, Australia

Email:
lindena_9@hotmail.com

DOI:
https://doi.org/10.1090/S0002-9947-07-03402-2

Received by editor(s):
July 27, 2001

Received by editor(s) in revised form:
October 8, 2002

Published electronically:
June 4, 2007

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.