Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-01-03
Phys.Rev.D84:044038,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, no figures, minor corrections, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.84.044038
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.
Flanagan Eanna E.
Tichy Wolfgang
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