Newton-Cartan, Galileo-Maxwell and Kaluza-Klein
High Energy Physics - Theory
2016-06-22 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1512.03799,
title = {Newton-Cartan, Galileo-Maxwell and Kaluza-Klein},
author = {Dieter Van den Bleeken and Cagin Yunus},
journal= {arXiv preprint arXiv:1512.03799},
year = {2016}
}
Comments
Few typos corrected and comments added. Version accepted for publication + additional refs