Spectrum of the radiation from electric charges and from dipoles which free infall into a black hole

TL;DR

This paper analyzes the electromagnetic radiation emitted by electric charges and dipoles freely falling into a Schwarzschild black hole, deriving spectra for various multipoles and orientations, with potential observational implications.

Contribution

It introduces a general method to compute electromagnetic radiation spectra from falling multipoles into black holes, including higher-order multipoles and different orientations.

Findings

Spectra differ based on dipole orientation.

Derived electromagnetic spectra for monopole and dipole fall.

Method applicable to higher multipoles like quadrupoles.

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.