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gr-qcNov 7, 2002
21
citations (OpenAlex)
authors
  • N. Van den Bergh
institutions
  • Ghent University
arXiv abstractPDF
paper

Purely gravito-magnetic vacuum space-times

arXiv:gr-qc/0211025 · doi:10.1088/0264-9381/20/1/101

Abstract

It is shown that there are no vacuum space-times (with or without cosmological constant) for which the Weyl-tensor is purely gravito-magnetic with respect to a normal and timelike congruence of observers.

4 pages

Cited by in corpus (12)

  • Frame dragging, vorticity and electromagnetic fields in axially symmetric stationary spacetimes
  • Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources
  • Complete classification of purely magnetic, non-rotating and non-accelerating perfect fluids
  • Gravitational radiation, vorticity and the electric and magnetic part of Weyl tensor
  • Gravito-magnetic vacuum spacetimes: kinematic restrictions
  • Tidal effects cannot be absent in a vacuum
  • Aligned electric and magnetic Weyl fields
  • Refinements of the Weyl tensor classification in five dimensions
  • Stationary cylindrical anisotropic fluid and new purely magnetic GR solutions
  • Energetics of the Einstein-Rosen spacetime
  • Gravitomagnetism and the significance of the curvature scalar invariants
  • An exhaustive classification of aligned Petrov type D purely magnetic perfect fluids
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