Aschenbach effect for spinning particles in Kerr spacetime

Abstract

The orbital velocity profile of circular timelike geodesics in the equatorial plane of a Kerr black hole has a non-monotonic radial behavior, provided that the spin parameter $a$ of the black hole is bigger than a certain critical value $a_c\approx 0.9953M$. Here the orbital velocity is measured with respect to the Locally Non-Rotating Frame (LNRF), and the non-monotonic behavior, which is known as the Aschenbach effect, occurs only for co-rotating orbits. Using the Mathisson-Papapetrou-Dixon equations for a massive spinning particle, we investigate the Aschenbach effect for test particles with spin. In addition to the black-hole spin, the absolute value of the particle's spin and its orientation (parallel or anti-parallel to the black-hole spin) also play an important role for the Aschenbach effect. We determine the critical value $a_c$ of the spin parameter of the Kerr black hole where the Aschenbach effect sets in as a function of the spin of the probe. We consider not only black holes ($a^2\le M^2$) but also naked singularities ($a^2>M^2$). Whereas for spinless (geodesic) particles the orbital velocity is always monotonically decreasing if the motion is counter-rotating, we find that for spinning particles in counter-rotating motion with anti-parallel spin around a naked singularity the orbital velocity is increasing on a certain radius interval.

arXiv comment15 pages, 11 figures; text and figures extended

References in corpus (11)

• Circular orbits and related quasi-harmonic oscillatory motion of charged particles around weakly magnetized rotating black holes
• Measuring Supermassive Black Hole Spins in Active Galactic Nuclei
• Measuring mass and angular momentum of black holes with high-frequency quasi-periodic oscillations
• Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition
• Spinning test-body orbiting around Schwarzschild black hole: circular dynamics and gravitational-wave fluxes
• Relativistic Motion of Spinning Particles in a Gravitational Field
• Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes
• The Aschenbach effect: unexpected topology changes in motion of particles and fluids orbiting rapidly rotating Kerr black holes
• Mass and Angular Momentum of Black Holes: An Overlooked Effect of General Relativity Applied to the Galactic Center Black Hole Sgr A*
• Non-monotonic orbital velocity profiles around rapidly rotating Kerr-(anti-)de Sitter black holes
• Non-monotonic Keplerian velocity profiles around near-extreme braneworld Kerr black holes

Cited by in corpus (9)

• Epicyclic oscillations in spinning particle motion around Kerr black hole applied in models fitting the quasi-periodic oscillations observed in quasars and microquasars
• Spinning test body orbiting around a Schwarzschild black hole: Comparing Spin Supplementary Conditions for Circular Equatorial Orbits
• Nonlinear Einstein-Power-Yang-Mills AdS Black Holes: From Quantum Tunneling to Aschenbach Effect
• Aschenbach effect and circular orbits in static and spherically symmetric black hole backgrounds
• Spinning test body orbiting around a Kerr black hole: Comparing Spin Supplementary Conditions for Circular Equatorial Orbits
• Static spheres and Aschenbach effect for black holes in massive gravity
• Aschenbach effect for spinning particles in Kerr-(A)dS spacetime
• Extended bodies with spin induced quadrupoles on circular equatorial orbits in Kerr spacetime
• Spinning charged test particle dynamics around a Schwarzschild black hole embedded in a homogeneous magnetic field