Gravitational radiation from distant encounters and from head-on collisions of black holes - The zero-frequency limit

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Energy Spectra, Gravitational Waves, Angular Distribution, Differential Equations, Energy Dissipation, Lorentz Transformations, Low Frequencies, Particle Collisions, Particle Emission, Radiation Distribution

Scientific paper

The paper investigates the zero-frequency limit of the energy spectrum for the gravitational radiation emitted during the scattering or collision of two particles, the calculations made for the cases of distant encounters or head-on collisions of two compact objects. It is found that the zero-frequency limit not only gives the exact low frequency results, but also provides an estimate of the total energy radiated, its polarization, and its angular distribution. Applied to the high-velocity collision of two equal-mass black holes, it predicts an isotropic angular distribution of gravitational radiation with an efficiency of order unity.

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