General Relativity: An Introduction for Physicists · Problem 13.6

The Kerr geometry — Hobson, Efstathiou & Lasenby

Physics · kerr-2-surface-circumferences

Problem

Consider the 2-surfaces defined by

t = \text{constant}

and

r = r_{\pm}

in the Kerr geometry. Show that, for each surface, the circumference around the 'poles' is less than the circumference around the equator. Show that the same is true for the 2-surfaces defined by

t = \text{constant}

and

r = r_{S\pm}

Related theory

Relation Between Surface Energy And Surface Tension

Browse the problem library