期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
卷 24, 期 2, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218271815500182
关键词
Killing vector; Newton-Cartan spacetime; Lie algebra
资金
- FNRS (Belgium)
- COST Action [MP1304]
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 spacetime structure and the Killing-Cartan vector fields, which in addition preserve the gravitational field, form a Lie subalgebra.
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