On the algebraic classification of pseudo-Riemannian spaces
Original version
Hervik, S,; Coley, A. (2011) On the algebraic classification of pseudo-Riemannian spaces. International Journal of Geometric Methods in Modern Physics, 8(8), pp. 1679-1685 10.1142/S0219887811005932Abstract
We consider arbitrary-dimensional pseudo-Riemannian spaces of signature (k, k + m). We introduce a boost-weight decomposition and define a number of algebraic properties (e.g. the Si- and N-properties) and present a boost-weight decomposition to classify the Weyl tensors of arbitrary signature and discuss degenerate algebraic types (e.g. VSI spaces). We consider the four dimensional neutral signature space as an illustration.
Description
On the algebraic classification of pseudo-Riemannian spaces. Hervik, S. and Coley, A. International Journal of Geometric Methods in Modern Physics, vol. 8, issue 8. Copyright 2011 with permission from World Scientific Publishing Co. Pte. Ltd.