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arXiv · 1101.0588

Covariant formulation of the post-1-Newtonian approximation to General Relativity

Wolfgang Tichy·Eanna E. Flanagan
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Abstract

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.

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Wolfgang Tichy, Eanna E. Flanagan. 2011-08-09. Covariant formulation of the post-1-Newtonian approximation to General Relativity. https://doi.org/10.1103/physrevd.84.044038

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