Theoretical problems on gravitational-wave detectors.

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The author investigates the physical meaning of the observes (defined in a geometrical coordinate-independent way) associated with the TT gauge and other ad hoc coordinate systems that are often used in the description of gravitational-wave detectors. TT observers undergo very complicated motions when seen by a freely falling observer; for most (but not all) kinds of detectors with size l much smaller than the wavelength λ of the radiation to be detected, Fermi normal coordinates are the best. The author points out the difficulty of giving a clear, geometrical description of the family of fundamental observers associated with the detector.

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