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gr-qcMar 17, 2003
20
citations (OpenAlex)
authors
  • Norbert Van den Bergh
institutions
  • Ghent University
arXiv abstractPDF
paper

Tidal effects cannot be absent in a vacuum

arXiv:gr-qc/0303056 · doi:10.1088/0264-9381/20/11/103

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 congruence of freely falling observers.

4 pages, typos corrected

References in corpus (1)

  • Purely gravito-magnetic vacuum space-times

Cited by in corpus (11)

  • Spacetime dynamics of spinning particles - exact electromagnetic analogies
  • Frame dragging, vorticity and electromagnetic fields in axially symmetric stationary spacetimes
  • On the classification of type D spacetimes
  • Complete classification of purely magnetic, non-rotating and non-accelerating perfect fluids
  • Gravitational radiation, vorticity and the electric and magnetic part of Weyl tensor
  • 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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