Journal
PHYSICAL REVIEW D
Volume 84, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.84.044038
Keywords
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Funding
- NSF [PHY-9722189, PHY-0757735, PHY-0855315]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1068541] Funding Source: National Science Foundation
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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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