Angular momentum in curved spacetime

[nickyrtr]

When an object moves in curved spacetime, how does its angular momentum vector transform? My hunch is that the curvature tensor is involved somehow, but can't figure out an obvious equation for dL^a/dx^b. Probably I even wrote that derivative wrong .. sorry I'm a newbie at GR.

 

[Dale]

The angular momentum is parallel transported along the worldline of the gyroscope. This is how Gravity Probe B measured the geodetic effect.

 

[pervect]

I believe it transforms as a two-form, i.e. one considers the angular momentum two-form or bivector r^p , where ^ is the wedge product, r is the radial vector, and p is the linear momentum, rather than the 3-d form r x p, where x is the cross prolduct.