Sidereal time analysis as a tool for the study of the space distribution of sources of gravitational waves

Gravitational wave (GW) detectors operating on a long time range can be used for the study of space distribution of sources of GW bursts or to put strong upper limits on the GW signal of a wide class of source candidates. For this purpose we propose here a sidereal time analysis to analyze the output signal of GW detectors. Using the characteristics of some existing detectors, we demonstrate the capability of the sidereal time analysis to give a clear signature of different localizations of GW sources: the Galactic Center, the Galactic Plane, the Supergalactic plane, the Great Attractor. On the contrary, a homogeneous 3Ddistribution of GW sources gives a signal without features. In this paper we consider tensor gravitational waves with randomly oriented polarization. We consider GW detectors at fixed positions on the Earth, and a fixed orientation of the antenna.