WANDs of the black ring

2005/01/01 by V. Pravda, A. Pravdova, A. Pravdová · 6 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #gr-qc #hep-th

paper · pdf · doi:10.1007/s10714-005-0110-3

published as Gen.Rel.Grav.37:1277-1287,2005 · 9 pages, 3 figures

arxiv created 2005/01/01 · openalex publication_date 2005/07/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Necessary conditions for various algebraic types of the Weyl tensor are determined. These conditions are then used to find Weyl aligned null directions for the black ring solution. It is shown that the black ring solution is algebraically special, of type I_i, while locally on the horizon the type is II. One exceptional subclass - the Myers-Perry solution - is of type D.

Citations

• Vanishing scalar invariant spacetimes in higher dimensions
• ALIGNMENT AND ALGEBRAICALLY SPECIAL TENSORS IN LORENTZIAN GEOMETRY

Cited by

• Classification of the Weyl tensor in higher dimensions and applications
• Surface geometry of 5D black holes and black rings
• Type D Einstein spacetimes in higher dimensions
• Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment
• On higher dimensional Einstein spacetimes with a warped extra dimension
• Higher dimensional Kerr–Schild spacetimes