학술논문

Relativistic Lagrange formulation.
Document Type
Journal
Author
Geroch, Robert (1-CHI-F) AMS Author Profile; Nagy, G. (F-TOUR-MTP) AMS Author Profile; Reula, O. (RA-CRDBM) AMS Author Profile
Source
Journal of Mathematical Physics (J. Math. Phys.) (20010101), 42, no.~8, 3789-3808. ISSN: 0022-2488 (print).eISSN: 1089-7658.
Subject
83 Relativity and gravitational theory -- 83C General relativity
  83C55 Macroscopic interaction of the gravitational field with matter
Language
English
Abstract
Summary: ``It is well known that the equations for a simple fluid can be cast into what is called their Lagrange formulation. We introduce the 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. We prove a key theorem to the effect that if the original (Euler) system admits an initial-value formulation, then so does its generalized Lagrange formulation.''