Dynamics and Fundamental Frequencies of Test Particles Orbiting Kerr-Newman-NUT-Kiselev Blacks Hole in Rastall Gravity

Abstract

The spacetime properties in the exterior of the Kerr-Newman-NUT-Kiselev black hole in the Rastall theory of gravity, through particle dynamics are investigated with the aim to find possible degeneracy of the different black hole parameters. We show that the effective potential, the energy, and the angular momentum of a test particle moving in the spacetime of such a black hole strongly depend on the central black hole parameters. We also evaluate the innermost stable circular orbit radii of test particles and show how the spacetime parameters can act on them. Further, we show the results for the fundamental frequencies of test particles moving at small distances from the circular orbits in the equatorial plane. We demonstrate that change in the Rastall parameter $\kappa \lambda$, can make the radial epicyclic frequency to become zero at larger distances from the central source. We also notice that for the vertical epicyclic frequencies, in the case of the Kerr-Newman-NUT-Kiselev black hole in the Rastall theory of gravity lower frequencies are observed as compared to the frequencies observed in the case of the Kerr black hole. Finally, we show that for the Kerr-Newman-NUT-Kiselev black hole in the Rastall gravity, the Keplerian frequencies are almost identical with the frequencies noticed in the case of the Kerr black hole and the difference between the two can only be observed in the regions in a very close vicinity to the central black hole, studied in the present work.

14 pages, 7 figures. Accepted for publication in EPJ Plus

References in corpus (13)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Dynamics of test particles around a Bardeen black hole surrounded by perfect fluid dark matter
• Circular orbit of a particle and weak gravitational lensing
• Kerr-Newman-AdS Black Hole In Quintessential Dark Energy
• Can the dynamics of test particles around charged stringy black holes mimic the spin of Kerr black holes?
• Test particle motion around black hole in Einstein-Maxwell-scalar theory
• Light bending and X-ray echoes from behind a supermassive black hole
• Charged particle motion around a quasi-Kerr compact object immersed in an external magnetic field
• Dynamics of charged particles and magnetic dipoles around magnetized quasi-Schwarzschild black holes
• Geodesic Motion of Neutral Particles around a Kerr-Newman Black Hole
• Radiation generated by accelerating and rotating charged black holes in (anti-)de Sitter space
• NUT charges and black hole shadows
• Post-Minkowskian solution for the small-deflection motion of test particles in Kerr-Newman spacetime

Cited by in corpus (2)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Spin precession frequencies of a test gyroscope around a naked singularity and quasi-periodic oscillations