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Prediction of the Sidereal Time Distribution of Gravitational Wave Events for Different Detectors

NAUTILUS-EXPLORER coincidences of gravitational wave (GW) events observed during 1998 and 2001 independently reveal the possible excess of events around 4 and 14 hr of sidereal time, exactly where it was predicted for tensor GW sources localized in the Galactic center. The statistical significance of the observed excess is small and needs confirmation. Nevertheless, if one accepts this result, one can predict the distribution of GW events that should be observed by other existing detectors. This gives us a way to confirm or reject the interpretation of these observations as being due to real GW signal. Then, we discuss the methods of analysis in order to facilitate the interpretation. First, we emphasize that the detectors used for coincidence analysis must be compatible, otherwise some coincident events may be lost. Then, we emphasize two important points resulting from the natural modulation of the signal provided by the Earth's rotation: (1) the sidereal time analysis can work with one detector only, without necessarily considering coincidences between two detectors, and (2) a very low signal-to-noise ratio (≈0.5) can be used.