cianfa72's latest activity

Yes, definitely. What I can't see clearly from the video is: was the gyroscope spinning about its axis when the astronaut placed it on...

In this video at 06:30 the astronaut places the gyroscope on the string attached to the walls of the ISS cabin. I'm not sure whether the...

Geodesic paths are not curved. They are straight, by definition: geodesics define what "straight" means. Locally, a gyroscope can't...

"Geodesic deviation" is the wrong term here, it does not apply to worldlines in a congruence. It applies to the spacetime geometry...

If you can Lie drag a vector field, how to Lie drag the integral curves of that vector field should be obvious.

Do you think the above actually makes sense ?

Ok, indeed. My point was to stress the notion of parallel and FW transport: assign a curve C, a point P on it and a vector V at P (i.e...

So, FW transport along any curve will preserve all of these properties. Parallel transport will only preserve them along a geodesic. For...

Yes, of course. I'm not asking about specific properties of frame field. I'm asking about the simple case of FW transport of a set of...

No. Given any curve C, a point P on it and a vector V at P one can solve the first-order differential equation for the parallel...

Ah ok, maybe I wasn't very clear in post #22. In the general case (not geodesic curve) for both parallel and FW transport we need to...

I think the same is true for parallel transport since it is defined for any curve including non-geodesic ones. However I never said...

But that operation is typically called the exponential map (and is a completely rigorous construct)...

Ok yes. Yes, however the curve C is known (it is the observer's worldline) hence the tangent vector ##\mathbf u## along the curve...

I'm not sure whether the following argument applies to FW transport as well. Take the parallel transport equation along a curve C from...