General Formula for Comparison of Clock Rates -- Applications to Cosmos and Solar System

Details General Formula for Comparison of Clock Rates -- Applications to Cosmos and Solar System General Formula for Comparison of Clock Rates -- Applications to Cosmos and Solar System

2005-10-08

arxiv.org/abs/gr-qc/0510032v1

Class.Quant.Grav. 22 (2005) 5015-5028

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages. CQG submitted

Scientific paper

10.1088/0264-9381/22/23/007

In this paper we deduce a quite general formula which allows the relation of clock rates at two different space time points to be discussed. In the case of a perturbed Robertson-Walker metric, our analysis leads to an equation for the comparison of clock rates at different cosmic space time points, which includes the Hubble redshift, the Doppler effect, the gravitational redshift and the Rees-Sciama effects. In the case of the solar system, when the 2PN metric is substituted into the general formula, the comparison of the clock rates on both the earth and a space station could be made. It might be useful for the discussion on the precise measurements on future ACES and ASTROD.

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