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A generally covariant extension of general relativity (GR) in which adynamical unit timelike vector field is coupled to the metric is studied in theasymptotic weak field limit of spherically symmetric static solutions. The twopost-Newtonian parameters known as the Eddington-Robertson-Schiff parametersare found to be identical to those in the case of pure GR, except for somenon-generic values of the coefficients in the Lagrangian.Comment: 13 pages; v.2: minor editing, signs corrected, version to appear in  PRD; v. 3: signs corrected in eqn (3

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