NEWTONIAN EQUATIONS OF MOTION AND HARMONIC CONDITIONS IN THE THEORY OF GRAVITATION,

Abstract

The relation between Newtonian equations of motion and harmonic conditions in Einstein's theory of gravitation is examined. Assuming that a metric tensor can be represented in the form of a power series, it is proved that in order to obtain Newtonian equations of motion, it is necessary to use harmonic coordinate conditions of zero order. It is also proved that in Infeld's method for deriving Newtonian equations of motion from the equations for the gravitational field, coordinate conditions are used, which not only contain harmonic conditions of zero order, but stronger ones. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 15, 1963
Accession Number
AD0420865

Entities

People

  • Cz. Jankiewicz

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Equations
  • Equations Of Motion
  • Gravitational Fields
  • Mathematics
  • Power Series

Readers

  • Calculus or Mathematical Analysis