Chaotic motion and power spectral density in Schwarzschild Bertotti-Robinson black hole spacetime

TL;DR

This study investigates the chaotic dynamics and spectral properties of particles around Schwarzschild Bertotti-Robinson black holes, revealing how magnetic and electric parameters influence orbital stability and chaos.

Contribution

It provides a detailed analysis of particle motion, ISCOs, and chaos in Schwarzschild-BR black hole spacetime, highlighting the effects of magnetic and electric parameters on dynamics.

Findings

Magnetic field parameter B increases ISCO radius.

Magnetic and electric parameters influence chaos and spectral density.

Orbital and oscillatory behaviors are significantly affected by B, q, and μ.

Abstract

In this paper, we show that in weak field limit Schwarzschild Bertotti-Robinson black hole (Schwarzschild-BR BH) turns into Schwarzschild black hole immersed in external uniform magnetic field which is given in 1. The dynamics of both magnetized and electrically charged particles in the vicinity of a Schwarzschild-BR black hole are investigated. The innermost stable circular orbits (ISCOs) for both magnetized and electrically charged particles are examined in detail, revealing that the magnetic field parameter B exerts a considerable influence, leading to an increase in the ISCO radius. The orbital and epicyclic motion of test particles in Schwarzschild-BR black hole spacetime was analyzed, including both circular orbits and their oscillatory perturbations. Additionally, the trajectories of both magnetized and electrically charged particles are analyzed for various configurations of the magnetic parameter B. We also demonstrate how the magnetic field B, electric charge q, and magnetic moment {\mu} influence the dynamics of charged particles, specifically affecting the chaotic behavior, Poincare' sections, oscillatory frequencies and power spectral density.