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Low-frequency radiation from a particle falling into a Kerr black hole
Authors:I G Dymnikova  A K Popov
Institution:(1) A. F. Ioffe Physico-Technical Institute of the Academy of Sciences of the U.S.S.R., Leningrad, U.S.S.R.
Abstract:In this paper we consider the low-frequency limit of the electromagnetic and gravitational radiation from a relativistic particle falling into a Kerr black hole. The radiation spectra are obtained with help of the solution of Teukolsky's equations in terms of the hypergeometric functions. It is shown that in the low-frequency limit the spectra are lsquoflatrsquo and the power radiated depends strongly on the radiation lsquospinrsquo. 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 
$$c^3 /\left( {GM_n } \right) \ll \omega  \ll \gamma _0 c^3$$
, where gamma0=(1–u 0 2 /c 2)–1/2 is the particle Lorentz factor at infinity. The full energy radiated is proportional to gamma0 in gamma0 for electromagnetic radiation and to gamma 0 3 for gravitational radiation.
Keywords:
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