Capture of non-relativistic particles in eccentric orbits by a Kerr black hole

Abstract

We obtain approximate analytic expressions for the critical value of the total angular momentum of a non-relativistic test particle moving in the Kerr geometry, such that it will be captured by the black hole. The expressions apply to arbitrary orbital inclinations, and are accurate over the entire range of angular momentum for the Kerr black hole. The expressions can be easily implemented in N-body simulations of the evolution of star clusters around massive galactic black holes, where such captures play an important role.

arXiv comment8 pages, 1 figure, published version

References in corpus (9)

• The Galactic Center Massive Black Hole and Nuclear Star Cluster
• Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
• Stellar Processes Near the Massive Black Hole in the Galactic Center
• Testing the general relativistic ''no-hair'' theorems using the galactic center black hole SgrA*
• A Periodic Table for Black Hole Orbits
• Testing Properties of the Galactic Center Black Hole Using Stellar Orbits
• Stellar Dynamics of Extreme-Mass-Ratio Inspirals
• Testing the black hole no-hair theorem at the galactic center: Perturbing effects of stars in the surrounding cluster
• The harmonic structure of generic Kerr orbits

Cited by in corpus (20)

• Dark matter distributions around massive black holes: A general relativistic analysis
• Dark matter spikes in the vicinity of Kerr black holes
• The loss cone problem in axisymmetric nuclei
• Relativistic orbits around spinning supermassive black holes. Secular evolution to 4.5 post-Newtonian order
• Relativistic dynamics of stars near a supermassive black hole
• Geodesic motion around hairy black holes
• Shadows, rings and optical appearance of a magnetically charged regular black hole illuminated by various accretion disks
• On the impact of relativistic gravity on the rate of tidal disruption events
• The maximum mass of a black hole which can tidally disrupt a star: measuring black hole spins with tidal disruption events
• Numerical relativity higher order gravitational waveforms of eccentric, spinning, non-precessing binary black hole mergers
• Generation of gravitational waves and tidal disruptions in clumpy galaxies
• Light-Curve Structure and Halpha Line Formation in the Tidal Disruption Event AT 2019azh
• Constraining the Stellar Mass Function from the Deficiency of Tidal Disruption Flares in the Nuclei of Massive Galaxies
• Hanging on the cliff: Extreme mass ratio inspiral formation with local two-body relaxation and post-Newtonian dynamics
• On Innermost Stable Spherical Orbits near a rotating black hole: A numerical study of the particle motion near the plunging region
• Scattering of neutrinos by a rotating black hole accounting for the electroweak interaction with an accretion disk
• The luminosity function of TDEs from fallback-powered emission: implications for the black hole mass function
• Revised event rates for extreme and extremely large mass-ratio inspirals
• Marginally bound circular orbits in the composed black-hole-ring system
• Relativistic Motion of Stars Near Rotating Black Hole