Lorentz-invariant second-order tensors and an irreducible set of matrices
General Physics
2019-02-26 v1
Abstract
We prove that, up to multiplication by a scalar, the Minkowski metric tensor is the only second-order tensor that is Lorentz-invariant. To prove this, we show that a specific set of three matrices, made of two rotation matrices plus a Lorentz boost, is irreducible.
Cite
@article{arxiv.1902.09300,
title = {Lorentz-invariant second-order tensors and an irreducible set of matrices},
author = {Mayeul Arminjon},
journal= {arXiv preprint arXiv:1902.09300},
year = {2019}
}
Comments
10 pages