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The Chrono-Geometrical Structure of General Relativity and Clock Synchronization

2007/08/03 by Luca Lusanna, Lusanna, Luca
Physics and Astronomy · #Advanced Frequency and Time Standards #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.0708.0490

13 pages, Talk at the First Colloquium Scientific and Fundamental Aspects of the Galileo Programme, Toulouse 1-4 October 2007

arxiv created 2007/08/03 · openalex publication_date 2007/08/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

After a review of the chrono-geometrical structure of special relativity, where the definition of the instantaneous 3-space is based on the observer-dependent convention for the synchronization of distant clocks, it is shown that in a class of models of general relativity the instantaneous 3-space and the associated clock synchronization convention are dynamically determined by Einstein's equations. This theoretical framework is necessary to understand the relativistic effects around the Earth, to be tested with the ACES mission of ESA, and the implications for metrology induced by the accuracy of the new generation of atomic clocks.

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