caa a22 4500 445387092 CHVBK 20180317143035.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10714-011-1174-x doi (NATIONALLICENCE)springer-10.1007/s10714-011-1174-x Discriminating the Weyl type in higher dimensions using scalar curvature invariants [Elektronische Daten] [Alan Coley, Sigbjørn Hervik] We consider higher dimensional Lorentzian spacetimes which are currently of interest in theoretical physics. It is possible to algebraically classify any tensor in a Lorentzian spacetime of arbitrary dimensions using alignment theory. In the case of the Weyl tensor, and using bivector theory, the associated Weyl curvature operator will have a restricted eigenvector structure for algebraic types II and D, which leads to necessary conditions on the discriminants of the associated characteristic equation which can be manifestly expressed in terms of polynomial scalar curvature invariants. The use of such necessary conditions in terms of scalar curvature invariants will be of great utility in the study and classification of black hole solutions in more than four dimensions. Springer Science+Business Media, LLC, 2011 Higher dimensions nationallicence Lorentz manifolds nationallicence Algebraic classification nationallicence Polynomial scalar curvature invariants nationallicence Black hole spacetimes nationallicence Coley Alan Department of Mathematics and Statistics, Dalhousie University, B3H 3J5, Halifax, NS, Canada aut Hervik Sigbjørn Faculty of Science and Technology, University of Stavanger, 4036, Stavanger, Norway aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/8(2011-08-01), 2199-2207 0001-7701 43:8<2199 2011 43 10714 https://doi.org/10.1007/s10714-011-1174-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1174-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Coley Alan Department of Mathematics and Statistics, Dalhousie University, B3H 3J5, Halifax, NS, Canada aut NATIONALLICENCE 700 1- Hervik Sigbjørn Faculty of Science and Technology, University of Stavanger, 4036, Stavanger, Norway aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/8(2011-08-01), 2199-2207 0001-7701 43:8<2199 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer