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Connection Between Horizons and Algebraic Type

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Progress in Mathematical Relativity, Gravitation and Cosmology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 60))

Abstract

We study connections between both event and quasilocal horizons and the algebraic type of the Weyl tensor. The relation regarding spacelike future outer trapping horizon is analysed in four dimensions using double-null foliation.

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Acknowledgements

This work was supported by grant GACR 202/09/0772 and project UNCE 204020/2012.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University in Prague, V Holešovičkách 2, 180 00, Praha 8, Czech Republic

    Otakar Svítek

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  1. Otakar Svítek
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Correspondence to Otakar Svítek .

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Editors and Affiliations

  1. Dept. of Mathematics, University of Minho, Braga, Portugal

    Alfonso García-Parrado

  2. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe C. Mena

  3. Dept. of Mathematics, University of Minho, Braga, Portugal

    Filipe Moura

  4. Dept. of Mathematics, University of Minho, Braga, Portugal

    Estelita Vaz

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Svítek, O. (2014). Connection Between Horizons and Algebraic Type. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_64

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