Homoclinic orbits in Kerr-Newman black holes

Abstract

We present the exact solutions of the homoclinic orbits for the timelike geodesics of the particle on the general nonequatorial orbits in the Kerr-Newman black holes. The homoclinic orbit is the separatrix between bound and plunging geodesics, a solution that asymptotes to an energetically bound, unstable spherical orbit. The solutions are written in terms of the elliptical integrals and the Jacobi elliptic functions of manifestly real functions of the Mino time where we focus on the effect from the charge of the black hole to the homoclinic orbits. The parameter space of the homoclinic solutions is explored. The nonequatorial homoclinic orbits in Kerr cases can be obtained by setting the charge of the black holes to be zero. The homoclinic orbits and the associated phase portrait as a function of the radial position and its derivation with respect to the Mino time are plotted using the analytical solutions. In particular, the solutions can reduce to the zero azimuthal angular moment homoclinic orbits for understanding the frame dragging effects from the spin as well as the charge of the black hole. The implications of the obtained results to observations are discussed.

arXiv comment29 pages, 10 figures, revised version accepted for publication in Physical Review D. arXiv admin note: text overlap with arXiv:2208.11906

References in corpus (28)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• A bound on chaos
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• Detection of orbital motions near the last stable circular orbit of the massive black hole SgrA*
• Prospects for Fundamental Physics with LISA
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• Towards a formalism for mapping the spacetimes of massive compact objects: Bumpy black holes and their orbits
• Measuring coalescing massive binary black holes with gravitational waves: The impact of spin-induced precession
• On the charge of the Galactic centre black hole
• Rotating black hole orbit functionals in the frequency domain
• The Null Geodesics of the Kerr Exterior
• Gravity Waves, Chaos, and Spinning Compact Binaries
• Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity
• Computing inspirals in Kerr in the adiabatic regime. I. The scalar case
• Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix
• The fate of chaotic binaries
• Constraining the charge of the Galactic centre black hole
• Strategies for observing extreme mass ratio inspirals
• Transition from inspiral to plunge for eccentric equatorial Kerr orbits
• Geodesic Motion of Neutral Particles around a Kerr-Newman Black Hole
• Null and time-like geodesics in Kerr-Newman black hole exterior
• Gravity waves from relativistic binaries
• Regular and chaotic behavior of collective atomic motion in two-component Bose-Einstein condensates

Cited by in corpus (4)

• Dynamics of spinning particles in Reissner-Nordström black hole exterior
• Periodic orbits of neutral test particles in Reissner-Nordström naked singularities
• Geodesic Motion of Test Particles around the Scalar Hairy Black Holes with Asymmetric Vacua
• Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane