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The existence of a class of cosmic string solutions with infinite energy

Published online by Cambridge University Press:  14 November 2011

Yisong Yang
Yisong Yang
Affiliation:
Department of Mathematics, University of New Mexico, Albuquerque, NM 87131, U.S.A.
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Synopsis

Recent studies have indicated that in a certain critical coupling phase the Einstein–matter–gauge equations may be reduced to a Bogomol'nyi–Einstein system and the solutions are cosmic strings with finite separation. In this paper, we view the spacetime as known and treat the dynamics as being determined by the matter–gauge sector in an asymptotically Euclidean geometry. It is shown that the model admits a continuous family of infinite energy solutions which decay to the symmetric vacuum faster than any exponential functions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 122 , Issue 3-4 , 1992 , pp. 301 - 315
Copyright
Copyright © Royal Society of Edinburgh 1992

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