Purely Magnetic Spacetimes

@inproceedings{Barnes2004PurelyMS,
  title={Purely Magnetic Spacetimes},
  author={Alan Barnes},
  year={2004}
}
Spacetimes in which the electric part of the Weyl tensor vanishes (relative to some timelike unit vector field) are said to be purely magnetic. Examples of purely magnetic spacetimes are known and are relatively easy to construct, if no restrictions are placed on the energy-momentum tensor. However it has long been conjectured that purely magnetic vacuum spacetimes (with or without a cosmological constant) do not exist. The history of this conjecture is reviewed and some advances made in the… CONTINUE READING

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