# Covariant formulation of the post-1-Newtonian approximation to general relativity

@article{Tichy2011CovariantFO, title={Covariant formulation of the post-1-Newtonian approximation to general relativity}, author={Wolfgang Tichy and Eanna E. Flanagan}, journal={Physical Review D}, year={2011}, volume={84}, pages={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.

## 21 Citations

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