Cover: Lorentz invariance, momentum-energy tensors, and the MHD problem

Lorentz invariance, momentum-energy tensors, and the MHD problem

Published 1965

by Dominic G. B. Edelen

Purchase Print Copy

 Format Price
Add to Cart Paperback47 pages $23.00

A Memorandum with a threefold purpose. First, the rigorous consequences of Lorentz invariance for arbitrary tensor fields are obtained. Second, under a precise definition of the momentum-energy tensor, a system of equations for the determination of this tensor in terms of the energy density T00, and a system of equations for the determination of the arguments of T00 are obtained. A formulation of M H D problems is then given and is shown to be well set. This is accomplished by means of an extension of the classical existence theorems for linear partial differential equations whereby a collection of state variables can be said to be complete. Lastly, an alternative formulation is presented in which the momentum-energy tensor is derived from the equations of motion and a variational principle. The latter corresponds to the Lagrangian approach to field theory, while the presentation in terms of Lorentz invariance and the generation of the momentum-energy tensor from T00 corresponds to the Hamiltonian approach. 47 pp. Bibliog.

This report is part of the RAND research memorandum series. The Research Memorandum was a product of RAND from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.