Covariant formulation of the post-1-Newtonian approximation to General Relativity
Jan, 2011Citations per year
Abstract: (arXiv)
We derive a coordinate-independent formulation of the post-1-Newtonian approximation to general relativity. This formulation is a generalization of the Newton-Cartan geometric formulation of Newtonian gravity. It involves several fields and a connection, but no spacetime metric at the fundamental level. We show that the usual coordinate-dependent equations of post-Newtonian gravity are recovered when one specializes to asymptotically flat spacetimes and to appropriate classes of coordinates.Note:
- 14 pages, no figures, minor corrections, to appear in Phys. Rev. D
- 04.25.Nx
- 04.30.Db
- 95.30.Sf
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