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General relativity partial differential equations and dynamical systems

Fischer, Arthur E. and Marsden, Jerrold E. (1973) General relativity partial differential equations and dynamical systems. In: Partial Differential Equations. Proceedings of symposia in pure mathematics. No.23. American Mathematical Society , pp. 309-327. ISBN 9780821814239 http://resolver.caltech.edu/CaltechAUTHORS:20100920-074340576

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Abstract

In this paper we study two aspects of the Einstein equations of evolution for an empty spacetime. In the first part (§§1-3) we give a simple direct proof that the differentiability of the Cauchy data is maintained for short time. In the second part (§§4-5) we sketch how, on a suitable configuration space. Einstein's equations can be considered as forced geodesics modified by terms which reflect a moving coordinate system equipped with its own system of clocks. Both of these topics will be presented in more detail in paper [15], [12] by Fischer and Marsden.


Item Type:Book Section
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http://www.cds.caltech.edu/~marsden/bib/1973/06-FiMa1973/FiMa1973.pdfAuthorUNSPECIFIED
Additional Information:© 1973 American Mathematical Society.
Classification Code:AMS 1970:subject classificattions. Primary B3C99, B3C10, 35L45, 35L60; Secondary 83C30, 83C20, 83C45, 35LO5
Record Number:CaltechAUTHORS:20100920-074340576
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100920-074340576
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20029
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:20 Sep 2010 17:28
Last Modified:26 Dec 2012 12:26

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