General Relativity: An Introduction for Physicists · Problem 13.16

The Kerr geometry — Hobson, Efstathiou & Lasenby

Physics · kerr-circular-orbit-4-velocity

Problem

An observer (not necessarily free-falling) orbits a Kerr black hole in the equatorial plane in a circular orbit. His 'angular velocity with respect to a distant observer' is

\Omega = d\phi/dt

. Find the components

u^t

u^\phi

u_t

and

u_\phi

in terms of

\Omega

r

\mu

and

a

Related theory

Angular Velocity And Linear Velocity Relation

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