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The Cauchy problem in general relativity
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-9383-0748
2013 (English)In: Acta Physica Polonica B, ISSN 0587-4254, E-ISSN 1509-5770, Vol. 44, no 12, 2621-2641 p.Article in journal (Refereed) Published
Abstract [en]

After a brief introduction to classical relativity, we describe how to solve the Cauchy problem in general relativity. In particular, we introduce the notion of gauge source functions and explain how they can be used in order to reduce the problem to that of solving a system of hyperbolic partial differential equations. We then go on to explain how the initial value problem is formulated for the so-called Einstein-Vlasov system and describe a recent future global non-linear stability result in this setting. In particular, this result applies to models of the universe which are consistent with observations.

Place, publisher, year, edition, pages
2013. Vol. 44, no 12, 2621-2641 p.
Keyword [en]
Cauchy problems, General Relativity, Hyperbolic partial differential equation, Non-linear stabilities, Source functions
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Other Physics Topics
URN: urn:nbn:se:kth:diva-142897DOI: 10.5506/APhysPolB.44.2621ISI: 000331371900008ScopusID: 2-s2.0-84893506629OAI: diva2:705073
53rd Conference of the Cracow-School-of-Theoretical-Physics on Conformal Symmetry and Perspectives in Quantum and Mathematical Gravity, June 28-July 07, 2013, Zakopane, Poland

QC 20140314

Available from: 2014-03-14 Created: 2014-03-13 Last updated: 2014-03-14Bibliographically approved

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Ringström, Hans
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