A Caltech Library Service

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.

[img] PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


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
Related URLs:
URLURL TypeDescription
Additional Information:© 1973 American Mathematical Society.
Series Name:Proceedings of symposia in pure mathematics
Issue or Number:23
Classification Code:AMS 1970:subject classificattions. Primary B3C99, B3C10, 35L45, 35L60; Secondary 83C30, 83C20, 83C45, 35LO5
Record Number:CaltechAUTHORS:20100920-074340576
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20029
Deposited By: Ruth Sustaita
Deposited On:20 Sep 2010 17:28
Last Modified:03 Oct 2019 02:04

Repository Staff Only: item control page