Innermost Stable Circular Orbit of a Spinning Particle in Kerr Spacetime

Details Innermost Stable Circular Orbit of a Spinning Particle in Kerr Spacetime Innermost Stable Circular Orbit of a Spinning Particle in Kerr Spacetime

1997-12-26

arxiv.org/abs/gr-qc/9712095v1

Phys.Rev. D58 (1998) 023005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages including 8 figures

Scientific paper

10.1103/PhysRevD.58.023005

We study stability of a circular orbit of a spinning test particle in a Kerr spacetime. We find that some of the circular orbits become unstable in the direction perpendicular to the equatorial plane, although the orbits are still stable in the radial direction. Then for the large spin case ($S < \sim O(1)), the innermost stable circular orbit (ISCO) appears before the minimum of the effective potential in the equatorial plane disappears. This changes the radius of ISCO and then the frequency of the last circular orbit.

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