A modern view of the classical Herglotz-Noether theorem

Details A modern view of the classical Herglotz-Noether theorem A modern view of the classical Herglotz-Noether theorem

2010-04-12

arxiv.org/abs/1004.1935v3

Physics

Mathematical Physics

Scientific paper

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.

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