A peeling theorem for the Weyl tensor in higher dimensions

DOI10.1088/1361-6382/AC7509zbMath1498.83006arXiv2111.08638OpenAlexW3212693609WikidataQ113824854 ScholiaQ113824854MaRDI QIDQ5090126

Selim Amar

Publication date: 15 July 2022

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.08638

zbMATH Keywords

asymptoticsWeyl tensorLorentzian geometry

Mathematics Subject Classification ID

Kaluza-Klein and other higher-dimensional theories (83E15) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Refinements of the Weyl tensor classification in five dimensions
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Note on the invariant classification of vacuum type D spacetimes
• Ricci identities in higher dimensions
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• Vanishing scalar invariant spacetimes in higher dimensions
• ALIGNMENT AND ALGEBRAICALLY SPECIAL TENSORS IN LORENTZIAN GEOMETRY
• Classification of the Weyl tensor in higher dimensions
• Algebraic classification of higher dimensional spacetimes based on null alignment
• Classification of the Weyl tensor in higher dimensions and applications
• Bianchi identities in higher dimensions

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