2005/10/28 by Matteo Luca Ruggiero · 29 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Analogy #Axial symmetry #Context (archaeology) #Differential geometry #General relativity #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #Sagnac effect #Schwarzschild radius #gr-qc
paper · pdf · doi:10.1007/s10714-005-0190-0
published in General Relativity and Gravitation 37(11), 1845-1855 (Springer Science+Business Media) · 14 pages, 1 EPS figure, LaTeX, accepted for publication in General Relativity and Gravitation
arxiv created 2005/10/28 · openalex publication_date 2005/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the context of the natural splitting, the standard relative dynamics can be expressed in terms of gravito-electromagnetic fields, which allow to formally introduce a gravito-magnetic Aharonov-Bohm effect. We showed elsewhere that this formal analogy can be used to derive the Sagnac effect in flat space-time as a gravito-magnetic Aharonov-Bohm effect. Here, we generalize those results to study the General Relativistic corrections to the Sagnac effect in some stationary and axially symmetric geometries, such as the space-time around a weakly gravitating and rotating source, Kerr space-time, G"odel universe and Schwarzschild space-time.