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In this talk I will briefly outline work in progress in two differentcontexts in astrophysical relativity, i.e. the study of rotating starspacetimes and the problem of reliably extracting gravitational wave templatesin numerical relativity. In both cases the use of Weyl scalars and curvatureinvariants helps to clarify important issues.Comment: 3 pages. Proceedings of 16th SIGRAV conference, Vietri, Italy,  September 200

Newman-Penrose quantities as valuable tools in astrophysical relativity