1998/12/17 by Ll. Bel, Bel, Ll. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematics and Applications #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9812062
Latex, 32 pages Journ-ref: To be published in "Gravitation and Relativity in General", Ed. A. Molina, J. Martin, E. Ruiz and F. Atrio. World Scientific (1999)
arxiv created 1998/12/17 · openalex publication_date 1998/12/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define a Frame of reference as a two ingredients concept: A meta-rigid motion, which is a generalization of a Born motion, and a chorodesic synchronization, which is an adapted foliation. At the end of the line we uncover a low-level 3-dimensional geometry with constant curvature and a corresponding coordinated proper-time scale. We discuss all these aspects both from the geometrical point of view as from the point of view of some of the physical applications derived from them.