Algebraically special solutions in higher dimensions (Q2906682)

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scientific article; zbMATH DE number 6077701
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Algebraically special solutions in higher dimensions
scientific article; zbMATH DE number 6077701

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    5 September 2012
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    black hole
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    wormhole
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    algebraically special vacuum spacetimes
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    principal null direction
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    Weyl tensor
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    Goldberg-Sachs theorem
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    Newman-Penrose formalism
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    Algebraically special solutions in higher dimensions (English)
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    The present paper gives an overview about algebraically special solutions of the Einstein field equation in higher dimensions. It generalizes the analogous work for five dimensions, see [the author et al., Classical Quantum Gravity 30, No. 5, 055004, 21 p. (2013; Zbl 1263.83054)].NEWLINENEWLINEThe main methods applied are the principal null directions of the Weyl tensor, the Goldberg-Sachs theorem and the Newman-Penrose formalism.NEWLINENEWLINEFor the entire collection see [Zbl 1241.83007].
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