A modern view of the classical Herglotz-Noether theorem
Mathematical Physics
2010-08-25 v3 General Relativity and Quantum Cosmology
math.MP
Abstract
In this paper we give a new proof, valid for all dimensions, of the classical Herglotz-Noether theorem that all rotational shear-free and expansion-free flows (rotational Born-rigid flows) in Minkowski spacetime are generated by Killing vector fields (isometric flows). This is aimed as an illustration of a general framework for working with problems that can be described as a structure-preserving submersion, which we will describe in a subsequent paper.
Keywords
Cite
@article{arxiv.1004.1935,
title = {A modern view of the classical Herglotz-Noether theorem},
author = {Ziyang Hu},
journal= {arXiv preprint arXiv:1004.1935},
year = {2010}
}