Integrability of Kerr-Newman spacetime with cloud strings, quintessence and electromagnetic field

Abstract

The dynamics of charged particles moving around a Kerr-Newman black hole surrounded by cloud strings, quintessence and electromagnetic field is integrable due to the presence of a fourth constant of motion like the Carter constant. The fourth motion constant and the axial-symmetry of the spacetime give a chance to the existence of radial effective potentials with stable circular orbits in two-dimensional planes, such as the equatorial plane and other nonequatorial planes. They also give a possibility of the presence of radial effective potentials with stable spherical orbits in the three-dimensional space. The dynamical parameters play important roles in changing the graphs of the effective potentials. In addition, variations of these parameters affect the presence or absence of stable circular orbits, innermost stable circular orbits, stable spherical orbits and marginally stable spherical orbits. They also affect the radii of the stable circular or spherical orbits. It is numerically shown that the stable circular orbits and innermost stable circular orbits can exist not only in the equatorial plane but also in the nonequatorial planes. Several stable spherical orbits and marginally stable spherical orbits are numerically confirmed, too. In particular, there are some stable spherical orbits and marginally stable spherical orbits with vanishing angular momenta for covering whole the range of the latitudinal coordinate.

14 pages, 5 figures and 2 tables

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• Parameter constraints from shadows of Kerr-Newman-dS black holes with cloud strings and quintessence
• Third type of spacetime with the coexistence of integrability and non-integrability
• Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime
• Spherical particle orbits around a rotating black hole in massive gravity
• Measurement of the central Galactic black hole by extremely large mass-ratio inspirals
• Time-reversed Shannon entropy as a chaos indicator for non-integrable systems
• The Dirac oscillator in the curved spacetime of a cloud of strings