Relativistic Lagrange Formulation

Details Relativistic Lagrange Formulation Relativistic Lagrange Formulation

2001-02-14

arxiv.org/abs/gr-qc/0102071v1

J.Math.Phys.42:3789-3808,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, no figures, accepted in J. Math. Phys

Scientific paper

10.1063/1.1364502

It is well-known that the equations for a simple fluid can be cast into what is called their Lagrange formulation. We introduce a notion of a generalized Lagrange formulation, which is applicable to a wide variety of systems of partial differential equations. These include numerous systems of physical interest, in particular, those for various material media in general relativity. There is proved a key theorem, to the effect that, if the original (Euler) system admits an initial-value formulation, then so does its generalized Lagrange formulation.

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