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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: 13 June 2021

Local existence

Local existence

Chapter:
(p.294) 19 Local existence
Source:
On the Topology and Future Stability of the Universe
Author(s):

Hans Ringström

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199680290.003.0019

In Chapter 19, we prove local existence of solutions to the initial value problem. The equations we consider are the ones that appear when expressing the Einstein–Vlasov equations with respect to local coordinates (after fixing the gauge). We also derive a continuation criterion.

Keywords:   local existence, initial value problem, continuation criterion, einstein–vlasov equations, gauge

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