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The Cauchy problem for the Einstein equations

Feb, 2000

97 pages

Part of Einstein's field equations and their physical implications : Selected essays in honour of Juergen Ehlers, 127-224

Published in:

Lect.Notes Phys. 540 (2000) 127-224

e-Print:

gr-qc/0002074 [gr-qc]

Report number:

AEI-2000-012

View in:

ADS Abstract Service

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Abstract: (arXiv)

Various aspects of the Cauchy problem for the Einstein equations are surveyed, with the emphasis on local solutions of the evolution equations. Particular attention is payed to giving a clear explanation of conceptual issues which arise in this context. The question of producing reduced systems of equations which are hyperbolic is examined in detail and some new results on that subject are presented. Relevant background from the theory of partial differential equations is also explained at some length

Note:

Einstein's Field Equations and their Physical Interpretation, ed. by B. G. Schmidt, Springer, Berlin, 2000

References(56)

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