Low-frequency radiation from a particle falling into a Kerr black hole

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Electromagnetic Radiation, Gravitational Waves, Low Frequencies, Relativistic Particles, Kerr Effects, Radiation Spectra

Scientific paper

In this paper we consider the low-frequency limit of the electromagnetic and gravita- tional radiation from a relativistic particle falling into a Kerr black hole. The radiation spectra are obtained with help of the solution of Teukoisky's equations in terms of the hypergeometric functions. It is shown that in the low-frequency limit the spectra are `flat' and the power radiated depends strongly on the radiation `spin'. Dependence of the power on the initial kinetic energy of the radiating particle has the same character as that obtained by the WKB technique for the band of frequencies c3/(GMh) << w << y0c3, where y~ = (1 - u~/c2)"2 is the particle Lorentz factor at infinity. The full energy radiated is proportional to ~`o In Yo for electromagnetic radiation and to yg for gravitational radiation

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