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arXiv · 1512.03799

Newton-Cartan, Galileo-Maxwell and Kaluza-Klein

Dieter Van den Bleeken·Cagin Yunus
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Abstract

We study Kaluza-Klein reduction in Newton-Cartan gravity. In particular we show that dimensional reduction and the nonrelativistic limit commute. The resulting theory contains Galilean electromagnetism and a nonrelativistic scalar. It provides the first example of back-reacted couplings of scalar and vector matter to Newton-Cartan gravity. This back-reaction is interesting as it sources the spatial Ricci curvature, providing an example where nonrelativistic gravity is more than just a Newtonian potential.

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Dieter Van den Bleeken, Cagin Yunus. 2016-06-02. Newton-Cartan, Galileo-Maxwell and Kaluza-Klein. https://doi.org/10.1088/0264-9381%2F33%2F13%2F137002

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