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

• DOI: 10.3390/universe3010024
• Publication Date: 2017-03-13T14:26:18Z
• Authors: Pacôme Delva; Jan Geršl
• Keywords: [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]; relativistic geodesy; parameterized post-Newtonian theory; chronometric geodesy; general relativity; relativistic geodesy; relativistic gradiometry; relativistic gravimetry; relativistic time and frequency transfer; chronometric geodesy; parameterized post-Newtonian theory; Elementary particle physics; relativistic time and frequency transfer; QC793-793.5; relativistic gravimetry; 530; 01 natural sciences; relativistic gradiometry; 0103 physical sciences; [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]; general relativity

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.