Quasi-harmonic oscillatory motion of charged particles around a Schwarzschild black hole immersed in an uniform magnetic field

TL;DR

This study investigates the oscillatory motion of charged particles around a Schwarzschild black hole in a magnetic field, linking fundamental frequencies to observed quasi-periodic oscillations in microquasars.

Contribution

It introduces a model for charged particle oscillations in a magnetized black hole environment, connecting theoretical frequencies to observed astrophysical phenomena.

Findings

Charged particle oscillation frequencies depend on black hole mass and magnetic field strength.

Resonant frequency ratios of 3:2 can explain observed QPOs in microquasars.

Fundamental frequencies align with high-frequency QPO observations.

Abstract

In order to test the role of large-scale magnetic fields in quasiperiodic oscillation phenomena observed in microquasars, we study oscillatory motion of charged particles in vicinity of a Schwarzschild black hole immersed into an external asymptotically uniform magnetic field. We determine the fundamental frequencies of small harmonic oscillations of charged test particles around stable circular orbits in the equatorial plane of a magnetized black hole, and discuss the radial profiles of frequencies of the radial and latitudinal harmonic oscillations in dependence on the mass of the black hole and the strength of the magnetic field. We demonstrate that assuming relevance of resonant phenomena of the radial and latitudinal oscillations of charged particles at their frequency ratio $3:2$, the oscillatory frequencies of charged particles can be well related to the frequencies of the twin high-frequency quasi-periodic oscillations observed in the microquasars GRS 1915+105, XTE 1550-564 and GRO 1655-40.