Dynamics of relative motion of test particles in general relativity

Details Dynamics of relative motion of test particles in general relativity Dynamics of relative motion of test particles in general relativity

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977anihp..27..145b&link_type=abstract

Institut Henri Poincare, Annales, Section A - Physique Theorique, vol. 27, Aug. 16-Sept. 30, 1977, p. 145-166.

Physics

10

Conservation Laws, Field Theory (Physics), Hamilton-Jacobi Equation, Particle Motion, Relativity, Variational Principles, Canonical Forms, Deviation, Dirac Equation, Geodesic Lines, Linear Equations, Parameterization, Relativistic Particles, Vector Analysis

Scientific paper

This paper presents several variational principles which lead to the first and the second geodesic deviation equations, recently formulated by the author and used for the description of the relative motion of test particles in general relativity. Relations between these principles have been investigated and exhibited here. The paper contains also a study of the Hamilton-Jacobi equation for these generalized deviations and a discussion of the conservations laws appearing here.

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