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Classification of near-horizon geometries of extremal black holes

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arxiv 1306.2517 v2 pith:7PY6MCQX submitted 2013-06-11 hep-th gr-qc

Classification of near-horizon geometries of extremal black holes

classification hep-th gr-qc
keywords near-horizonblackclassificationdiscussextremaltheoriesgeometriesgeometry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 6 Pith papers

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