The paper derives ISCO radii, collision energies, and QPO frequencies for charged particles around a Schwarzschild-like black hole in an external magnetic field, but the dimensionless equations contain an internal inconsistency.
Particle collisions and optical effects in the mining Kerr--Newman spacetimes
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abstract
We study ultra-high-energy particle collisions and optical effects in the extraordinary class of mining braneworld Kerr-Newman (KN) naked singularity spacetimes, predicting extremely high efficiency of Keplerian accretion, and compare the results to those related to the other classes of the KN naked singularity and black hole spacetimes. We demonstrate that in the mining KN spacetimes the ultra-high centre-of-mass energy occurs for collisions of particles following the extremely-low-energy stable circular geodesics of the \uvozovky{mining regime}, colliding with large family of incoming particles, e.g., those infalling from the marginally stable counter-rotating circular geodesics. This is qualitatively different situation in comparison to the standard KN naked singularity or black hole spacetimes where the collisional ultra-high centre-of-mass energy can be obtained only in the near-extreme spacetimes. We also show that observers following the stable circular geodesics of the mining regime can register extremely blue-shifted radiation incoming from the Universe, and see strongly deformed sky due to highly relativistic motion along such stable orbits. The strongly blue-shifted radiation could be thus a significant source of energy for such orbiting observers.
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Influence of external magnetic fields on charged particle motion around a Schwarzschild-like black hole
The paper derives ISCO radii, collision energies, and QPO frequencies for charged particles around a Schwarzschild-like black hole in an external magnetic field, but the dimensionless equations contain an internal inconsistency.