TheF N method for a specified isotropic scattering model

Yildiz, C.

doi:10.1007/bf02828975

Cited by 6 publications

(2 citation statements)

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“…In a weak field, g 0i g 0j is a small quantity (∼O (6)) and the spatial conformal isotropic condition [26,28] is 6), (13) where q ij is a spatial anisotropic contribution in the second order. Then equation ( 12) simplifies to…”

Section: General Formulamentioning

confidence: 99%

“…We hope our general formula might be useful in ACES, ASTROD and LISA (Laser Interferometer Space Antenna) [11] which is space mission of worldwide interest. Our formula might also be useful for the precise measurement of the Hannay effect [12][13][14] (the Doppler shift variation is equal to 3.7 × 10 −15 for a geostationary satellite). The Hannay effect is the classical counterpart of the quantum geometric phase discovered by Berry [15].…”

Section: Introductionmentioning

confidence: 99%

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General formula for comparison of clock rates—applications to cosmos and solar system

Chun

Brüning

2005

Class. Quantum Grav.

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In this paper we deduce a quite general formula which allows the relation of clock rates at two different space time points to be discussed. In the case of a perturbed Robertson-Walker metric, our analysis leads to an equation for the comparison of clock rates at different cosmic space time points, which includes the Hubble redshift, the Doppler effect, the gravitational redshift and the Rees-Sciama effects. In the case of the solar system, when the 2PN metric is substituted into the general formula, the comparison of the clock rates on both the earth and a space station could be made. It might be useful for the discussion on the precise measurements on future ACES and ASTROD.

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