Curvatures and Petrov classification (Q2702157)

The author studies the main algebraic properties of the curvature tensor together with the Petrov classification of the Weyl tensor of a given space-time. He also gives some important examples, e.g. Robertson-Walker space, space of Schwarzschild and Kerr space. The main reference used for the Petrov classification is \textit{B. O. 'Neill} [Semi-Riemannian geometry. With applications to relativity, Academic Press (1983; Zbl 0531.53051), The geometry of Kerr black holes, A. K. Peters, Wellesley (1995; Zbl 0828.53078)].NEWLINENEWLINEFor the entire collection see [Zbl 0952.00066].