Stability of circular orbits of spinning particles in Schwarzschild-like space-times

Abstract

Circular orbits of spinning test particles and their stability in Schwarzschild-like backgrounds are investigated. For these space-times the equations of motion admit solutions representing circular orbits with particles spins being constant and normal to the plane of orbits. For the de Sitter background the orbits are always stable with particle velocity and momentum being co-linear along them. The world-line deviation equations for particles of the same spin-to-mass ratios are solved and the resulting deviation vectors are used to study the stability of orbits. It is shown that the orbits are stable against radial perturbations. The general criterion for stability against normal perturbations is obtained. Explicit calculations are performed in the case of the Schwarzschild space-time leading to the conclusion that the orbits are stable.

eps figures, submitted to General Relativity and Gravitation

References in corpus (14)

• Lyapunov indices with two nearby trajectories in a curved spacetime
• Dynamics of Extended Spinning Masses in a Gravitational Field
• Spinning test particles and clock effect in Kerr spacetime
• Spinning test particles and clock effect in Schwarzschild spacetime
• Ultrarelativistic circular orbits of spinning particles in a Schwarzschild field
• Spin precession in the Schwarzschild spacetime: circular orbits
• Spin precession along circular orbits in the Kerr spacetime: the Frenet-Serret description
• Perturbation Method for Classical Spinning Particle Motion: I. Kerr Space-Time
• The Onset of Chaotic Motion of a Spinning Particle around the Schwarzchild Black Hole
• Charged spinning particles on circular orbits in the Reissner-Nordström spacetime
• Worldline deviations of charged spinning particles
• World-line deviation and spinning particles
• Circular Orbits in Einstein-Gauss-Bonnet Gravity
• Spinning test particles in Weyl spacetimes

Cited by in corpus (10)

• Dynamics of test bodies with spin in de Sitter spacetime
• Highly relativistic circular orbits of spinning particle in the Kerr field
• Mathisson-Papapetrou-Dixon equations in the Schwarzschild and Kerr backgrounds
• Highly relativistic spinning particle in the Schwarzschild field: Circular and other orbits
• Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
• Spinning particle orbits around a black hole in an expanding background
• Spinning Particle in Gravitational Field of Black Hole Involving Global Monopole
• Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole
• Spinning and Spinning Deviation Equations for Special Types of Gauge Theories of Gravity
• The precession of particle spin in spherical symmetric spacetimes