Generalizations of pp-wave spacetimes in higher dimensions

Abstract

We shall investigate $D$-dimensional Lorentzian spacetimes in which all of the scalar invariants constructed from the Riemann tensor and its covariant derivatives are zero. These spacetimes are higher-dimensional generalizations of $D$-dimensional pp-wave spacetimes, which have been of interest recently in the context of string theory in curved backgrounds in higher dimensions.

5 pages, RevTex, to appear in Physical Review D

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• Higher dimensional Kerr-Schild spacetimes
• Dynamics of Brane-World Cosmological Models
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• New solutions in 3D gravity
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