Metadata aliases: [] shorthands: {} created: 2022-02-22 17:14:19 modified: 2022-02-22 17:47:04 Let be a Minkowski spacetime equipped with the Minkowski metric . Statement: A Lorentz transformation leaves the metric invariant and the converse is true as well:
aliases: [] shorthands: {} created: 2022-02-22 17:14:19 modified: 2022-02-22 17:47:04
This follows immediately, just use :
The basic notion is that is an arbitrary vector and it can be expressed as the sum of other two vectors, so use instead: