A general theory of the interaction of superfluid helium with a gravitational field is developed within the framework of general relativity by using a covariant generalization of the Gross-Pitaevskii equation. The general relativistic Sagnac effect for the superfluid Josephson interferometer is obtained in the stationary case. The influence of a plane-polarized gravitational wave on a recently proposed superfluid gravitational antenna as well as a new antenna is determined.
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J. Anandan (1981) studied this question.
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