Theoretical Tools for Relativistic Gravimetry, Gradiometry and Chronometric Geodesy and Application to a Parameterized Post-Newtonian Metric

Abstract

An extensive review of past work on relativistic gravimetry, gradiometry and chronometric geodesy is given. Then, general theoretical tools are presented and applied for the case of a stationary parameterized post-Newtonian metric. The special case of a stationary clock on the surface of the Earth is studied.

Keywords

• general relativity
• relativistic geodesy
• relativistic gradiometry
• relativistic gravimetry
• relativistic time and frequency transfer
• chronometric geodesy
• parameterized post-Newtonian theory