IOP Science
Metrologia 53 (2016) 846–852
Yu-Jie Tan, Cheng-Gang Shao, Jia Li and Zhong-Kun Hu
MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong
University of Science and Technology, 1037 Luo Yu Road, Wuhan 430074, People’s Republic of China
Received 12 June 2015, revised 18 January 2016
Accepted for publication 25 January 2016
Published 9 March 2016
Abstract
Although the relativistic manifestations of gravitational fields in gravimetry were first studied 40 years ago, the relativistic effects combined with free-fall absolute gravimeters have rarely been considered. In light of this, we present a general relativistic model for free-fall absolute gravimeters in a local-Fermi coordinates system, where we focus on effects related to the measuring devices: relativistic transverse Doppler effects, gravitational redshift effects and Earth’s rotation effects. Based on this model, a general relativistic expression of the measured gravity acceleration is obtained.
Keywords: effects of the relativity, relativistic doppler effects, gravitational redshift, absolute gravimeter, earth’s rotation
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