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- Title
The Sagnac effect in curved space-times from an analogy with the Aharonov-Bohm effect.
- Authors
Matteo Ruggiero
- Abstract
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, Gödel universe and Schwarzschild space-time.
- Publication
General Relativity & Gravitation, 2005, Vol 37, Issue 11, p1845
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-005-0190-0