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Published 1979 | Published
Book Section - Chapter Open

The initial value problem and the dynamical formulation of general relativity

Abstract

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Additional Information

© 1979, Cambridge University Press. Research for this paper was partially supported by the National Science Foundation, USA, and the Science Research Council, UK. The authors thank J. Arms, Y. Choquet-Bruhat, K. Kuchar, V. Moncrief, R. Palais, R. Sachs, and A. Taub for their helpful advice and S. Hawking and W. Israel for their kind invitation to contribute this chapter. It should be noted that in the case of compact Cauchy surfaces, the space of gravitational degrees of freedom has had all of the dynamical degrees of freedom factored ouL For some purposes this may be undesirable and a less severe identification may be wanted. (See York, 1972, and F1scher and Marsden, 1977.) One uses the more general reduction procedure described in Weinstein (1977) and Abraham and Marsden (1978).

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August 22, 2023
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