Gravitational waves as anisotropy of space.

Details Gravitational waves as anisotropy of space. Gravitational waves as anisotropy of space.

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jpsj...62.4159m&link_type=abstract

Journal of the Physical Society of Japan, Vol. 62, No. 12, p. 4159 - 4162

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Scientific paper

A binary star system, which has a mutual orbiting rotational speed of ωb, produces a time-dependent anisotropy of space at an observer. The equation of geodesic deviation shows that the resulting anisotropy of space gives rise to a gravitational force between two mirrors, which form an interferometer, and that force is proportional to ωb2 times the anisotropy of space. Because 2π/ωb is of the order of days or years, the rigidity k/m0 of the interferometer, where k is the force constant of a nongravitational force that supports the mirrors and m0 is the reduced mass of the mirrors, is much larger than ωb2. The amplitude of the vibrational motion of the interferometer with frequency ωb (in terms of its equilibrium length) is given by (ωb2/(k/m0)) times the anisotropy of space. On the other hand, if we rotate the interferometer with an angular speed of ω of 1 radian/s or more, we can make k/m0 < ω2, in which case the factor (ωb2/(k/m0)) disappears, and the rotating interferometer will be useful as a detector of the gravitational waves due to binary star systems.

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