2015/12/31 by Dieter Van den Bleeken, Cagin Yunus, Çağin Yunus · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Electromagnetism #Galilean #General relativity #Limit (mathematics) #Newtonian fluid #Newtonian limit #Quantum and Classical Electrodynamics #Reduction (mathematics) #Relativity and Gravitational Theory #Scalar (mathematics) #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/33/13/137002
Few typos corrected and comments added. Version accepted for publication + additional refs
arxiv created 2016/06/02 · openalex publication_date 2016/06/14 · arxiv updated 2016/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.