Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-06-26
Phys.Rev. D63 (2001) 084027
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
35 pages, 2 figures, pdf (from MSWord), accepted Physical Review D, January 2001. (revised from June 25, 2000 version)
Scientific paper
10.1103/PhysRevD.63.084027
The {\it exact} formulation for the effect of the Brans-Dicke scalar field on the gravitational corrections to the Sagnac delay in the Jordan and Einstein frames is presented for the first time. The results completely agree with the known PPN factors in the weak field region. The calculations also reveal how the Brans-Dicke coupling parameter (appears in various correction terms for different types of source/observer orbits. A first order correction of roughly 2.83 x 10^{-1} fringe shift for visible light is introduced by the gravity-scalar field combination for Earth bound equatorial orbits. It is also demonstrated that the final predictions in the two frames do not differ. The effect of the scalar field on the geodetic and Lense-Thirring precession of a spherical gyroscope in circular polar orbit around the Earth is also computed with an eye towards the Stanford Gravity Probe-B experiment currently in progress. The feasibility of optical and matter-wave interferometric measurements is discussed briefly.
Alsing Paul M.
Evans John C. Jr.
Nandi Kamal Kanti
Nayak T. B.
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