Peeling of the Weyl tensor and gravitational radiation in higher dimensions

Abstract

The peeling behaviour of the Weyl tensor near null infinity is determined for an asymptotically flat higher dimensional spacetime. The result is qualitatively different from the peeling property in 4d. To leading order, the Weyl tensor is type N. The first subleading term is type II. The next term is algebraically general in 6 or more dimensions but in 5 dimensions another type N term appears before the algebraically general term. The Bondi energy flux is written in terms of "Newman-Penrose" Weyl components.

15 pages; minor corrections; Phys. Rev. D: Vol.85, No.8 (2012)

References in corpus (4)

• Generalization of the Geroch-Held-Penrose formalism to higher dimensions
• Global solutions of the Einstein-Maxwell equations in higher dimensions
• Higher Dimensional Bondi Energy with a Globally Specified Background Structure
• Asymptotic structure of radiation in higher dimensions

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