Relativistic curvilinear coordinate examples

This is another video in a series about curvilinear coordinates and reciprocal frame vectors. This series will cover a subset of the material from the blog post http://peeterjoot.com/2022/04/05/curvilinear-coordinates-and-reciprocal-frames/ (or the accompanying pdf.)

In the last video we outlined our procedure for computing curvilinear vectors for parameterized subspaces, and worked through a few Euclidean examples of such vectors, and their associated area or volume elements.

In this video, we work through a few more examples. This time we use STA subspaces, and compute some relativistic curvilinear coordinates (Lorentz boost and scale, lightlike basis vectors, independent boost and rotate, ...)

In the next video, we will move on to reciprocal frame vectors, and how to calculate them.