Optical position meters analyzed in the non-inertial reference frames

Details Optical position meters analyzed in the non-inertial reference frames Optical position meters analyzed in the non-inertial reference frames

2008-04-27

arxiv.org/abs/0804.4292v2

Phys.Rev.D78:062001,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 2 figures; co-author added, added section VC with discussion of procedures of clocks synchronization, corrected sign

Scientific paper

10.1103/PhysRevD.78.062001

In the framework of General Relativity we develop a method for analysis of the operation of the optical position meters in their photodetectors proper reference frames. These frames are non-inertial in general due to the action of external fluctuative forces on meters test masses, including detectors. For comparison we also perform the calculations in the laboratory (globally inertial) reference frame and demonstrate that for certain optical schemes laboratory-based analysis results in unmeasurable quantities, in contrast to the detector-based analysis. We also calculate the response of the simplest optical meters to weak plane gravitational waves and fluctuative motions of their test masses. It is demonstrated that for the round-trip meter analysis in both the transverse-traceless (TT) and local Lorentz (LL) gauges produces equal results, while for the forward-trip meter corresponding results differ in accordance with different physical assumptions (e.g. procedure of clocks synchronization) implicitly underlying the construction of the TT and LL gauges.

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