2013/06/30 by Hari K. Kunduri, James Lucietti · 1 citation
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.12942/lrr-2013-8
published as Living Rev. Relativity 16, (2013), 8 · 70 pages; invited review article for Living Reviews in Relativity; v2 some improvements and references added
arxiv created 2013/09/26 · arxiv updated 2015/06/16
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.