Centrifugal force in Kerr geometry

Abstract

We have obtained the correct expression for the centrifugal force acting on a particle at the equatorial circumference of a rotating body in the locally non-rotating frame of the Kerr geometry. Using this expression for the equilibrium of an element on the surface of a slowly rotating Maclaurin spheroid, we obtain the expression for the ellipticity (as discussed earlier by Abramowicz and Miller) and determine the radius at which the ellipticity is maximum.

6 pages, LateX macros

Cited by in corpus (9)

• Magnetocentrifugal launching of jets from disks around Kerr black holes
• Optical reference geometry and inertial forces in Kerr-de Sitter spacetimes
• Lagrangian formulation of the general relativistic Poynting-Robertson effect
• Optical reference geometry of the Kerr-Newman spacetimes
• Three-dimensional general relativistic Poynting-Robertson effect II: Radiation field from a rigidly rotating spherical source
• Inertial frame dragging and Mach's principle in General Relativity
• Charged fluids encircling compact objects: force representations and conformal geometries
• Fluid flow and inertial forces in black hole space times
• Inertial Forces as Viewed from the ADM Slicing and their behaviour for Particles in Non-Circular Geodesics