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gr-qcFeb 1, 2006
9
citations (OpenAlex)
authors
  • Norbert Van den Bergh
  • Lode Wylleman
institutions
  • Ghent University
arXiv abstractPDF
paper

An exhaustive classification of aligned Petrov type D purely magnetic perfect fluids

arXiv:gr-qc/0602091 · doi:10.1088/0264-9381/23/10/007

Abstract

We prove that aligned Petrov type D purely magnetic perfect fluids are necessarily locally rotationally symmetric and hence are all explicitly known.

arXiv comment7 pages typos corrected and references added

References in corpus (12)

  • The Covariant Approach to LRS Perfect Fluid Spacetime Geometries
  • Linearisation instability of gravity waves?
  • Integrability of irrotational silent cosmological models
  • Newtonian-like and anti-Newtonian universes
  • Invariant construction of solutions to Einstein`s field equations - LRS perfect fluids I
  • On the classification of type D spacetimes
  • Purely gravito-magnetic vacuum space-times
  • Axistationary perfect fluids -- a tetrad approach
  • Gravito-magnetic vacuum spacetimes: kinematic restrictions
  • Tidal effects cannot be absent in a vacuum
  • Purely Magnetic Spacetimes
  • Aligned electric and magnetic Weyl fields

Cited by in corpus (5)

  • Minimal tensors and purely electric or magnetic spacetimes of arbitrary dimension
  • Complete classification of purely magnetic, non-rotating and non-accelerating perfect fluids
  • Refinements of the Weyl tensor classification in five dimensions
  • Purely radiative perfect fluids
  • On the flow of perfect energy tensors
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