J Brannlund et al 2008 Class. Quantum Grav. 25 195007 doi:10.1088/0264-9381/25/19/195007
J Brannlund1, A Coley1 and S Hervik2
Show affiliationsSupersymmetric solutions of supergravity theories, and consequently metrics with special holonomy, have played an important role in the development of string theory. We describe how a Lorentzian manifold is either completely reducible, and thus essentially known, or not completely reducible so that there exists a degenerate holonomy invariant lightlike subspace and consequently admits a covariantly constant or a recurrent null vector and belongs to the higher-dimensional Kundt class of spacetimes. These Kundt spacetimes (which contain the vanishing and constant curvature invariant spacetimes as special cases) are genuinely Lorentzian and have a number of interesting and unusual properties, which may lead to novel and fundamental physics.
83E30 String and superstring theories (See also 81T30)
83C75 Space-time singularities, cosmic censorship, etc.
81T60 Supersymmetric field theories
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
Issue 19 (7 October 2008)
Received 4 June 2008, in final form 25 July 2008
Published 11 September 2008
J Brannlund et al 2008 Class. Quantum Grav. 25 195007
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