- #1

ChrisVer

Gold Member

- 3,381

- 464

Suppose you have a sphere, travelling at [itex]u = 0.99 c [/itex] along the [itex]x[/itex] axis in our frame S.

I was wondering how the sphere's metric changes due to Lorentz length contraction. Obviously at the rest frame of the sphere, it will appear as a sphere. However on S the sphere will appear as an ellipsoid.

How would the induced metric transform however, so that it changes from describing a sphere to describing an ellipsoid?