1993/12/03 by S. I. Tertychniy, S. Tertychniy, Tertychniy, S.
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Radioactive Decay and Measurement Techniques #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9312010
22 pages, uuencoded compressed PostScript, no local number
arxiv created 1993/12/03 · openalex publication_date 1993/12/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The problem of the referring of space and time relationships between physical objects in a curved space-time is discussed. The basic notions of column and weak column that could constitute the basis for consistent general relativistic description of measurements of space and time relations are introduced and the corresponding equations are derived. A column of observers is proposed to realize still vague notion of `non-inertial frame of reference' in case of curved space-time, the criterion distinguishing `inertial columns' is suggested as well. A number of solutions of column equations is described. They are applied for calculation of gravitational, inertial (or gravitational-inertial in more general situation) and ``external" forces and the strength of gravitational field in several cases of physical interest. In particular, the `general relativistic' version of Newton's law of inverse squares is derived in case of the interaction of test particle with a static central symmetric body.