Absorption of gravitational waves by nearly Newtonian systems

Details Absorption of gravitational waves by nearly Newtonian systems Absorption of gravitational waves by nearly Newtonian systems

May 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..479l&link_type=abstract

General Relativity and Gravitation, vol. 14, May 1982, p. 479-492.

Computer Science

3

Einstein Equations, Energy Absorption, Equations Of Motion, Gravitational Waves, Newton Theory, Plane Waves, Angular Momentum, Approximation, Conservation Laws, Hydrodynamic Equations, Relativity

Scientific paper

The formula giving the energy absorbed per unit time by a nearly Newtonian system whose dimensions are small compared with the wavelength of an incident plane gravitational wave is determined. The variation in angular momentum is indicated. The nonlinear nature of the Einstein equations is taken into account in the determinations. These equations are solved in terms of hydrodynamic variables using a method of successive approximation. The conservation law of energy-momentum then gives the equations of motion for the hydrodynamic variables. The equations of motion for two fluid balls are determined in order to compare them with the ones derived by Turner (1979) for two point masses. The variation of energy due to the effects of a plane gravitational wave is then obtained.

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