1994/03/25 by Karl-Peter Marzlin · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Coordinate time #Cosmology and Gravitation Theories #General relativity #Geodesic #Gravitation #Gravitational field #Gravitational potential #Introduction to the mathematics of general relativity #Mathematical analysis #Mathematics #Newtonian potential #Numerical relativity #Observer (physics) #Physics #Quantum mechanics #Relativity and Gravitational Theory #Two-body problem in general relativity #gr-qc
paper · pdf · doi:10.1103/physrevd.50.888
published as Phys.Rev. D50 (1994) 888-891 · 7 Pages, Preprint KONS-RGKU-94-04, LaTeX
arxiv created 1994/03/25 · openalex publication_date 1994/07/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the Fermi coordinate system of an observer in arbitrary motion in an arbitrary weak gravitational field valid to all orders in the geodesic distance from the world line of the observer. In flat space-time this leads to a generalization of Rindler space for arbitrary acceleration and rotation. The general approach is applied to the special case of an observer resting with respect to the weak gravitational field of a static mass distribution. This allows us to make the correspondence between general relativity and Newtonian gravity more precise.