Involutive systems of differential equations: Einstein’s strength versus Cartan’s degré d’arbitraire
- 1 February 1991
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (2) , 392-399
- https://doi.org/10.1063/1.529424
Abstract
Three new theorems relating Einstein’s notions of ‘‘strength’’ and ‘‘compatibility’’ to the field of the initial-value problem are presented. These theorems result (i) in a first proof of Matthews’ conjectures concerning this relation for a wider class of systems of partial-differential equations, (ii) in a new interpretation of Einstein’s compatibility condition, and (iii) in the exact relation between Einstein’s strength and Cartan’s degré d’arbitraire.Keywords
This publication has 6 references indexed in Scilit:
- Strength of the Poincaré gauge field equations in first order formalismPhysics Letters A, 1989
- Mass and spin of double dual solutions in Poincaré gauge theoryIl Nuovo Cimento B (1971-1996), 1988
- On the strength of Maxwell’s equationsJournal of Mathematical Physics, 1987
- The "Strength" of a System of Differential EquationsProgress of Theoretical Physics, 1977
- On the strength of a system of partial differential equationsJournal of Mathematical Physics, 1975
- Applications of the concept of strength of a system of partial differential equationsJournal of Mathematical Physics, 1974