Recently, the data analysis of gravitational waves (GWs) detectors has been started and the scientific community aims at a first direct detection of GWs in next years which will confirm the famous, indirect and Nobel Price Winner proof of Hulse and Taylor. This will be a fundamental step in the ambitious project of performing a GWs astronomy. Strong and mysterious processes of the Universe, such as supernova explosions, catastrophic collisions, fusion of binary systems, rotation of pulsars, interaction of black-holes or the original big-bang generate gravitational waves. Thus, GWs are a potential way to obtain new important information on them. Such a observation will be important also for an understanding of the famous Dark Matter and Dark Energy. From another point of view, detectors for GWs will be important either to confirm or rule out the physical consistency of Einstein's General Relativity or of any other theory of gravitation . In fact, in the context of Extended Theories of Gravity, some differences between General Relativity and the others theories can be pointed out starting by the linearized theory of gravity . Thus, one can tell that if advanced projects on the detection of GWs will improve their sensitivity, allowing to perform a GWs astronomy, accurate angular and frequency dependent response functions of interferometers for GWs arising from various Theories of Gravity, i.e. General Relativity and Extended Theories of Gravity, will be the ultimate test for Einstein's General Relativity. The aim of this Symposium is to obtain a tapestry of the present status of theory and experiments concerning GWs.
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