3 research outputs found
Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation
A d-dimensional spacetime is "axisymmetric" if it possesses an SO(d-2)
isometry group whose orbits are (d-3)-spheres. In this paper, algebraically
special, axisymmetric solutions of the higher dimensional vacuum Einstein
equation (with cosmological constant) are investigated. Necessary and
sufficient conditions for static axisymmetric solutions to belong to different
algebraic classes are presented. Then general (possibly time-dependent)
axisymmetric solutions are discussed. All axisymmetric solutions of algebraic
types II, D, III and N are obtained.Comment: 28 page
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