General relativistic corrections to the Sagnac effect

Tartaglia, Angelo

doi:10.1103/physrevd.58.064009

Cited by 47 publications

(51 citation statements)

References 29 publications

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“…1 In doing so, we recover some old results [23][24][25], and suggest that our approach can be applied to arbitrary stationary and axially symmetric geometries.…”

Section: Introductionsupporting

confidence: 58%

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

Ruggiero

2005

Gen Relativ Gravit

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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.

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“…1 In doing so, we recover some old results [23][24][25], and suggest that our approach can be applied to arbitrary stationary and axially symmetric geometries.…”

Section: Introductionsupporting

confidence: 58%

“…This time difference corresponds to the so called gravito-magnetic time delay, which has been obtained by Stodolski [17], Cohen-Mashhoon [23] in weak field approximation, and by Tartaglia [24], by a first order approximation of the time delay in Kerr space-time.…”

Section: The Weak Field Around a Rotating Massmentioning

confidence: 97%

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

Ruggiero

2005

Gen Relativ Gravit

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“…A problem similar to the present one, where instead of the two clocks we found a couple of light beams, has been treated in. 10 Using the same notations as there and considering an equatorial circular orbit, the elementary arc length of the fourdimensional helix of a clock is…”

Section: Special Casesmentioning

confidence: 99%

Detection of the gravitomagnetic clock effect

Tartaglia

2000

Class. Quantum Grav.

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The essence of the gravitomagnetic clock effect is properly defined showing that its origin is in the topology of world lines with closed space projections. It is shown that, in weak field approximation and for a spherically symmetric central body, the loss of synchrony between two clocks counter-rotating along a circular geodesic is proportional to the angular momentum of the source of the gravitational field. Numerical estimates are presented for objects within the solar system. The less unfavorable situation is found around Jupiter.

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“…The effect can be quantified through a consideration of the Sagnac effect as in [36][37][38], which represents the difference in travel time or phase shift of corotating and counterrotating light waves in the field of a central massive and spinning object. In order to calculate this in conformal gravity we must consider the rotating metric found in [4], namely…”

Section: Lense-thirring Effectmentioning

confidence: 99%

Gravitomagnetic effects in conformal gravity

2013

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Gravitomagnetic effects are characterized by two phenomena: first, the geodetic effect which describes the precession of the spin of a gyroscope in a free orbit around a massive object, second, the Lense-Thirring effect which describes the precession of the orbital plane about a rotating source mass. We calculate both these effects in the fourth-order theory of conformal Weyl gravity for the test case of circular orbits. We show that for the geodetic effect a linear term arises which may be interesting for high radial orbits, whereas for the Lense-Thirring effect the additional term has a diminishing effect for most orbits. Circular orbits are also considered in general leading up to a generalization of Kepler's third law.

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General relativistic corrections to the Sagnac effect

Cited by 47 publications

References 29 publications

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

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

Detection of the gravitomagnetic clock effect

Gravitomagnetic effects in conformal gravity

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