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Start Over Author "R. L. Schafir" Journal proceedings of the royal society of london. a. mathematical and physical sciences
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1. Bondi’s vector, and the Seliger & Whitham Variational Principle for matter fields

Author

R. L. Schafir

Subjects
Physics, General Relativity and Quantum Cosmology, General Energy, Classical mechanics, Variational principle, General relativity, Poynting vector, Newtonian fluid, Equations of motion, Newtonian limit, Conserved quantity, Expression (mathematics), Mathematical physics
Abstract

Bondi’s Newtonian Poynting Vector is extended to other ‘Bondi-type’ conserved quantities, which are also derived by variational methods. By means of the technique of Seliger & Whitham it is shown that they are the expressions which arise most naturally in contexts concerned with the equations of motion. The pseudo-tensor derived from the Lagrangian R √(— g) is the corresponding expression in General Relativity; direct calculation verifies that it tends to Bondi’s vector in the Newtonian limit.

Published
1979

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