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Fermi co-ordinates and relativistic effects in non-inertial frames

2000/09/19 by Hrvoje Nikolić, H. Nikolic, Nikolic, H.
Engineering · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Sensor Technology #Radioactive Decay and Measurement Techniques #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0009068

9 pages, talk presented at the conference "Physical Interpretations of Relativity Theory VII", London, September 15-18, 2000, to appear in the proceedings

arxiv created 2000/09/19 · openalex publication_date 2000/09/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Fermi co-ordinates are proper co-ordinates of a local observer determined by his trajectory in space-time. Two observers at different positions belong to different Fermi frames even if there is no relative motion between them. Use of Fermi co-ordinates leads to several physical conclusions related to relativistic effects seen by observers in arbitrary motion. In flat space-time, the relativistic length seen by an observer depends only on his instantaneous velocity, not on his acceleration or rotation. In arbitrary space-time, for any observer the velocity of light is isotropic and equal to c, provided that it is measured by propagating a light beam in a small neighbourhood of the observer. The value of a covariant field measured at the position of the observer depends only on his instantaneous position and velocity, not on his acceleration. The notion of radiation is observer independent. A "freely" falling charge in curved space-time does not move along a geodesic and therefore radiates.

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