2 research outputs found
Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
We consider stationary extremal black hole solutions of the Einstein-Maxwell
equations with a negative cosmological constant in four dimensions. We
determine all non-static axisymmetric near-horizon geometries (with
non-toroidal horizon topology) and all static near-horizon geometries for black
holes of this kind. This allows us to deduce that the most general near-horizon
geometry of an asymptotically globally AdS(4) rotating extremal black hole, is
the near-horizon limit of extremal Kerr-Newman-AdS(4). We also identify the
subset of near-horizon geometries which are supersymmetric. Finally, we show
which physical quantities of extremal black holes may be computed from the
near-horizon limit alone, and point out a simple formula for the entropy of the
known supersymmetric AdS(4) black hole. Analogous results are presented in the
case of vanishing cosmological constant.Comment: 18 pages, Latex. v2: footnote added on pg. 12. v3: assumption of
non-toroidal horizon topology made explicit, minor clarification
Holographic Entanglement Entropy: An Overview
In this article, we review recent progresses on the holographic
understandings of the entanglement entropy in the AdS/CFT correspondence. After
reviewing the general idea of holographic entanglement entropy, we will explain
its applications to confinement/deconfinement phase transitions, black hole
entropy and covariant formulation of holography.Comment: 52 pages, Invited review article for a special issue "Entanglement
entropy in extended quantum systems" in Journal of Physics A, edited by
P.Calabrese, J. Cardy and B. Doyon; (v2) references adde