Analytic result for the properties of gravitational waves emitted by a large class of model sources

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Analytic Functions, Astronomical Models, Gravitational Waves, Quadrupoles, Angular Distribution, Gravitational Wave Antennas, Polarization (Waves), Radiation Distribution, Tensors, Waveforms

Scientific paper

The results of a study of the properties of gravitational waves emitted by model sources are presented. It is shown that for a large class of realistic astrophysical situations, the expressions for the mass quadrupole moment tensor in the model all have the same relatively simple form. A simple analytic formula for the gravitational radiation from the sources, as well as explicit expressions for the radiation patterns, polarization dependence, and the wave form are obtained.

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