The reaction force of gravitational radiation for an elastic medium. I - Perturbation of a quasi-Newtonian motion. II - Perturbation of a quasi-Minkowskian motion

Details The reaction force of gravitational radiation for an elastic medium. I - Perturbation of a quasi-Newtonian motion. II - Perturbation of a quasi-Minkowskian motion The reaction force of gravitational radiation for an elastic medium. I - Perturbation of a quasi-Newtonian motion. II - Perturbation of a quasi-Minkowskian motion

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981anihp..34..419l&link_type=abstract

Institut Henri Poincare, Annales, Section A - Physique Theorique, vol. 34, May 16-June 30, 1981, p. 419-425, 427-435. In French

Physics

Elastic Media, Equations Of Motion, Gravitational Effects, Gravitational Waves, Perturbation Theory, Relativity, Approximation, Field Theory (Physics)

Scientific paper

Reaction forces due to the effects of graviational radiation are analyzed for elastic media in which mechanical forces dominate the gravitational forces, and in which the gravitational forces predominate. Equations of motion are derived within the framework of general relativity for an elastic medium with strong mechanical forces characterized by velocities much smaller than the speed of light disturbed by the gravitational radiation reaction force, and the variation of the energy of the post-post-Newtonian system is calculated. Equations of motion are then derived within the framework of the linear approximation of general relativity for the variation in the energy of an elastic medium in quasi-Minkowskian motion due to gravitational radiation reaction forces. Comparison of the two formulas deduced reveals them to be identical, despite the higher order approximations used in the second case.

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