paper

Static post-Newtonian equivalence of GR and gravity with a dynamical preferred frame

arXiv:gr-qc/0310044 · doi:10.1103/PhysRevD.69.064005

Abstract

A generally covariant extension of general relativity (GR) in which a dynamical unit timelike vector field is coupled to the metric is studied in the asymptotic weak field limit of spherically symmetric static solutions. The two post-Newtonian parameters known as the Eddington-Robertson-Schiff parameters are found to be identical to those in the case of pure GR, except for some non-generic values of the coefficients in the Lagrangian.

13 pages; v.2: minor editing, signs corrected, version to appear in PRD; v. 3: signs corrected in eqn (3)

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