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Existence of oscillating solutions of Einstein  Yang-Mills equations
Author(s):
Alexander
N.
Linden
Journal:
Trans. Amer. Math. Soc.
359
(2007),
5125-5139.
MSC (2000):
Primary 83C20
Posted:
June 4, 2007
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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
DOI:
10.1090/S0002-9947-07-03402-2
PII:
S 0002-9947(07)03402-2
Received by editor(s):
July 27, 2001
Received by editor(s) in revised form:
October 8, 2002
Posted:
June 4, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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