WANDs of the Black Ring

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.

9 pages, 3 figures

References in corpus (2)

• Vanishing Scalar Invariant Spacetimes in Higher Dimensions
• Quasi-local rotating black holes in higher dimension: geometry

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