Progress on nonuniqueness of solutions to the vacuum Einstein conformal constraint equations with positive Yamabe invariant

In this article, we make a generalization of classical fixed point theorems by using the concept of half-continuity and then apply it to improve the nonuniqueness result for solutions to the vacuum Einstein conformal equations shown in Nguyen (2018 Commun. Anal. Geom. ((arXiv: 1507.01081)).

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Bibliographic Details
Published in:Classical and quantum gravity 2018-08, Vol.35 (16), p.165008
Main Author: Nguyen, The Cang
Format: Article
Language:English
Subjects:
Einstein constraint equations
far-from-CMC
fixed point theorems
the conformal method
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Description
Summary:In this article, we make a generalization of classical fixed point theorems by using the concept of half-continuity and then apply it to improve the nonuniqueness result for solutions to the vacuum Einstein conformal equations shown in Nguyen (2018 Commun. Anal. Geom. ((arXiv: 1507.01081)).
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/aacf4e