Vol. 16 (2013) > lrr-2013-8

doi: 10.12942/lrr-2013-8
Living Rev. Relativity 16 (2013), 8

Classification of Near-Horizon Geometries of Extremal Black Holes

1 Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's NL A1C 4P5, Canada
2 School of Mathematics and Maxwell Institute of Mathematical Sciences, University of Edinburgh, King's Buildings, Edinburgh, EH9 3JZ, UK

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Article Abstract

Any spacetime containing a degenerate Killing horizon, such as an extremal black hole, possesses a well-defined notion of a near-horizon geometry. We review such near-horizon geometry solutions in a variety of dimensions and theories in a unified manner. We discuss various general results including horizon topology and near-horizon symmetry enhancement. We also discuss the status of the classification of near-horizon geometries in theories ranging from vacuum gravity to Einstein–Maxwell theory and supergravity theories. Finally, we discuss applications to the classification of extremal black holes and various related topics. Several new results are presented and open problems are highlighted throughout.

Keywords: Extremal black holes, Near-horizon geometry, Black holes

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Article Citation

Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

Hari K. Kunduri and James Lucietti,
"Classification of Near-Horizon Geometries of Extremal Black Holes",
Living Rev. Relativity 16,  (2013),  8. URL (cited on <date>):

Article History

ORIGINAL http://www.livingreviews.org/lrr-2013-8
Title Classification of Near-Horizon Geometries of Extremal Black Holes
Author Hari K. Kunduri / James Lucietti
Date accepted 11 September 2013, published 25 September 2013
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