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On the Topology and Future Stability of the Universe$
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Hans Ringström

Print publication date: 2013

Print ISBN-13: 9780199680290

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199680290.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 22 June 2021

Global existence

Global existence

Chapter:
(p.568) 31 Global existence
Source:
On the Topology and Future Stability of the Universe
Author(s):

Hans Ringström

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199680290.003.0031

In Chapter 31, we prove future global existence in the case that the initial data are specified on the 3-torus, and assuming the initial data are close to those of de Sitter space. The proof is a bootstrap argument, one important ingredient being a system of differential inequalities. At the end of the chapter, we derive rough conclusions concerning the asymptotics.

Keywords:   global existence, 3-torus, de Sitter space, bootstrap argument, differential inequalities, asymptotics

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