Gravitational radiation from freely-falling bodies

Physics

Scientific paper

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Energy Dissipation, Falling Spheres, Free Fall, Gravitational Fields, Electrodynamics, Gravitational Effects, Quadrupoles

Scientific paper

An attempt is made to report a model for determining the gravitational radiation from freely falling bodies. The model consists of two perfect fluid spheres with the same radius and thin retaining skins in an initially static configuration by virtue of an intervening strut. An expression for the metric within the spheres and strut is given, the metrics for free fall are discussed, and an equation for the gravitational energy flux during the early stages of free fall is presented. It is noted that the radiated energy depends on the structure of the sources and that the flux decreases with diminishing body size for a given separation and mass. It is concluded that the free-fall energy loss rate exceeds that which would be anticipated by the quadrupole formula.

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