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gr-qcJan 9, 2004
9
citations (OpenAlex)
authors
  • Pieter-Jan De Smet
institutions
  • State University of New York
  • Stony Brook University
arXiv abstractPDF
paper

The Petrov type of the BMPV metric

arXiv:gr-qc/0401033 · doi:10.1007/s10714-005-0013-3

Abstract

We show that the BMPV metric has Petrov type 22. This means that the BMPV metric is less algebraically special than the five-dimensional Schwarzschild metric, which has Petrov type \underline{22}.

6 pages, 2 figures

References in corpus (5)

  • All supersymmetric solutions of minimal supergravity in five dimensions
  • Classification of the Weyl Tensor in Higher Dimensions
  • Black holes on cylinders are not algebraically special
  • The Kerr-Newman-Godel Black Hole
  • Classification of Energy Momentum Tensors in n≥5 Dimensional Space-times: a Review

Cited by in corpus (8)

  • Classification of the Weyl Tensor in Higher Dimensions and Applications
  • Higher dimensional bivectors and classification of the Weyl operator
  • Classification of Higher Dimensional Spacetimes
  • Separability of a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory
  • Pure spinors, intrinsic torsion and curvature in even dimensions
  • Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
  • Rotating black holes in valid vector-tensor theories after GW170817
  • The curvature of almost Robinson manifolds
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