eng
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Living Reviews in Relativity
1433-8351
2013-09-25
16
8
10.12942/lrr-2013-8
lrr-2013-8
article
Classification of Near-Horizon Geometries of Extremal Black Holes
Hari K. Kunduri
1
James Lucietti
2
Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's NL A1C 4P5, Canada
School of Mathematics and Maxwell Institute of Mathematical Sciences, University of Edinburgh, King's Buildings, Edinburgh, EH9 3JZ, UK
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 Einsteinâ€“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.
http://www.livingreviews.org/lrr-2013-8
Black holes
Near-horizon geometry
Extremal black holes