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arXiv · 1412.5803

On the Lie subalgebra of Killing-Milne and Killing-Cartan vector fields in Newtonian space-time

N. Chamel
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Abstract

The Galilean (and more generally Milne) invariance of Newtonian theory allows for Killing vector fields of a general kind, whereby the Lie derivative of a field is not required to vanish but only to be cancellable by some infinitesimal Galilean (respectively Milne) gauge transformation. In this paper, it is shown that both the Killing-Milne vector fields, which preserve the background Newtonian space-time structure, and the Killing-Cartan vector fields, which in addition preserve the gravitational field, form a Lie subalgebra.

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N. Chamel. 2014-12-18. On the Lie subalgebra of Killing-Milne and Killing-Cartan vector fields in Newtonian space-time. https://doi.org/10.1142/s0218271815500182

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