The Cauchy Problem for the Einstein Equations

Details The Cauchy Problem for the Einstein Equations The Cauchy Problem for the Einstein Equations

2000-02-22

arxiv.org/abs/gr-qc/0002074v1

Lect.Notes Phys.540:127-224,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

98 pages

Scientific paper

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

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