Covariant Newtonian limit of Lorentz space-times

Details Covariant Newtonian limit of Lorentz space-times Covariant Newtonian limit of Lorentz space-times

May 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..445k&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 5, pp.445-457

Physics

38

Scientific paper

The formulation of this limit given by Dautcourt [1] is slightly improved using the notions of Galilei manifold and Newtonian connection. It is then shown under what conditions the conservation equations ▽μ μα = 0 for an arbitrary relativistic continuum have the correct (also covariantly formulated) Newtonian limit. For electromagnetism one obtains a curved space generalization of the electric or magnetic Galileian theory of LeBellac and Lévy-Leblond [4] depending on whether the contravariant or the covariant Maxwell tensor is required to have a regular Galileian limit.

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