A note on the peeling theorem in higher dimensions

2005/05/05 by A. Pravdova, A Pravdová, V. Pravda +3 · 1 citation
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Spectral Theory in Mathematical Physics #Tensor decomposition and applications #gr-qc

paper · pdf · doi:10.1088/0264-9381/22/13/001

published as Class.Quant.Grav.22:2535-2538,2005 · 5 pages, to appear in Class. Quantum Grav

arxiv created 2005/05/05 · openalex publication_date 2005/06/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We demonstrate the 'peeling property' of the Weyl tensor in higher dimensions in the case of even dimensions (and with some additional assumptions), thereby providing a first step towards an understanding of the general peeling behaviour of the Weyl tensor, and the asymptotic structure at null infinity, in higher dimensions.

Citations

• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• ALIGNMENT AND ALGEBRAICALLY SPECIAL TENSORS IN LORENTZIAN GEOMETRY
• An Approach to Gravitational Radiation by a Method of Spin Coefficients

Cited by

• Classification of the Weyl tensor in higher dimensions and applications