Coordinate-dependent 3 + 1 formulation of the general relativity equation of motion

Details Coordinate-dependent 3 + 1 formulation of the general relativity equation of motion Coordinate-dependent 3 + 1 formulation of the general relativity equation of motion

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..399n&link_type=abstract

General Relativity and Gravitation, vol. 12, May 1980, p. 399-404.

Physics

5

Astronomical Models, Equations Of Motion, Relativity, Acceleration (Physics), Kinetic Energy, Tensor Analysis, Vector Analysis

Scientific paper

This paper gives a coordinate-dependent 3 + 1 decomposition of the
geodesic law of motion. The equation is similar in form to the equation
of motion of electrodynamics except there is an extra term proportional
to the rate of change of kinetic energy and the vector potential. The
equation is solved for the acceleration explicitly.

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