M Ortaggio et al 2007 Class. Quantum Grav. 24 1657 doi:10.1088/0264-9381/24/6/018
M Ortaggio1, V Pravda2 and A Pravdová2
Show affiliationsWe explore connections between geometrical properties of null congruences and the algebraic structure of the Weyl tensor in n > 4 spacetime dimensions. First, we present the full set of Ricci identities on a suitable 'null' frame, thus completing the extension of the Newman–Penrose formalism to higher dimensions. Then we specialize to geodetic null congruences and study specific consequences of the Sachs equations. These imply, for example, that Kundt spacetimes are of type II or more special (like for n = 4) and that for odd n a twisting geodetic WAND must also be shearing (in contrast to the case n = 4).
04.50.-h Higher-dimensional gravity and other theories of gravity
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 6 (21 March 2007)
Received 29 January 2007
Published 6 March 2007
M Ortaggio et al 2007 Class. Quantum Grav. 24 1657
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