Constraints on the magnetized Ernst black hole spacetime through quasiperiodic oscillations

TL;DR

This paper investigates how magnetic fields around a magnetized Ernst black hole influence particle dynamics, especially the ISCO radius and epicyclic frequencies, and uses QPO data to constrain the magnetic field strength.

Contribution

It provides a detailed analysis of magnetic field effects on particle orbits and frequencies, and constrains the magnetic field strength using astrophysical QPO observations.

Findings

Magnetic fields significantly reduce the ISCO radius for charged particles.

The derived epicyclic frequencies depend on the magnetic field strength.

The magnetic field near the black hole is estimated to be around 10^{-7} Gauss.

Abstract

We study the dynamics of test particles around a magnetized Ernst black hole considering its magnetic field in the environment surrounding the black hole. We show how its magnetic field can influence the dynamics of particles and epicyclic motion around the black hole. Based on the analysis, we find that the radius of the innermost stable circular orbit (ISCO) for both neutral and charged test particles and epicyclic frequencies are strongly affected by the influence of the magnetic field. We also show that the ISCO radius of charged particles decreases rapidly. It turns out that the gravitational and Lorentz forces of the magnetic field are combined, thus strongly shrinking the values of the ISCO of charged test particles. Finally, we obtain the generic form for the epicyclic frequencies and select three microquasars with known astrophysical quasiperiodic oscillation (QPO) data to constrain the magnetic field.We show that the magnetic field is of the order of magnitude $B\sim 10^{-7}$ Gauss, taking into account the motion of neutral particles in circular orbit about the black hole.