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The Sagnac Effect in curved space-times from an analogy with the Aharonov-Bohm Effect

Matteo Luca Ruggiero
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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, G\"{odel} universe and Schwarzschild space-time.

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Matteo Luca Ruggiero. 2005-10-28. The Sagnac Effect in curved space-times from an analogy with the Aharonov-Bohm Effect. https://doi.org/10.1007/s10714-005-0190-0

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