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Frame Dragging (Lense-Thirring Effect)

The twisting of spacetime by a rotating mass, causing a rotating black hole to drag surrounding spacetime along with it, affecting the orbits of nearby objects.

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The statement of the theorem

For a rotating mass described by the Kerr metric, the angular velocity

\omega

of the local inertial frames (the dragging effect) is determined by the off-diagonal metric component

g_{t\phi}

: \n

\omega = -\frac{g_{t\phi}}{g_{\phi\phi}} = \frac{2G J r}{c^2 r^2 + a^2 (r^2 + a^2) - 2G M r}

\nwhere

J

is the angular momentum and

a = J/(Mc)

is the spin parameter.