Spectrum of relativistic radiation from electric charges and dipoles as they fall freely into a black hole

Abstract

The free fall of electric charges and dipoles, radial and freely falling into the Schwarzschild black hole event horizon, was considered. Inverse effect of electromagnetic fields on the black hole is neglected. Dipole was considered as a point particle, so the deformation associated with exposure by tidal forces are neglected.According to the theorem, "the lack of hair" of black holes, multipole magnetic fields must be fully emitted by multipole fall into a black hole. The spectrum of electromagnetic radiation power for these multipoles (monopole and dipole) was found.Differences were found in the spectra for different orientations of the falling dipole.A general method has been developed to find radiated electromagnetic multipole fields for the free falling multipoles into a black hole (including higher order multipoles quadrupoles, etc.). The electromagnetic spectrum can be compared with observational data from stellar mass and smaller black holes.

Synchrotron radiation from a weakly magnetized Schwarzschild black hole

“…High-frequency electromagnetic and gravitational radiation from a relativistic particle falling into a Schwarzschild and a Kerr black hole was considered and the spectral and angular distributions of the radiation power were calculated in [6]. The spectrum of electromagnetic radiation power from radially free falling monopole and point-like dipole into a Schwarzschild black hole was found in [7]. Characteristic features of the electromagnetic spectrum of radiation from a radially free falling dipole were studied subsequently in [8].…”

Occurrence of a turning point in the dynamic solution for a Reissner-Nordström black hole

“…Here, the function V 2 (τ, R) is the squared invariant velocity (see [3,9]). Using expression (30), one can rewrite Eq.…”

Spectrum for the electric dipole which nonradially falling into a black hole

“…In the expression (11) we have discarded a member with the asymptotic ∝ 1/R 2 and allowed only a member with the required asymptotic behavior: ∝ 1/R in the field of the electromagnetic wave 4 (emw):…”

“…Earlier, a similar radiation was investigated in many papers -see for example [4][5][6][7][8][9][10]; We do this a slightly different method, which is much more convenient for numerical calculations -see [11,12].…”