Anti-de Sitter space and black holes

Anti de Sitter black holes

In these introductory notes we define constant curvature spacetimes and discuss their symmetries, basic properties and the construction of their spacetime diagram. We then discuss the important properties of anti de Sitter spacetime giving global and local parametrisations. We study the static black holes and then discuss their basic properties and novel topological effects due to the presence ...

Topological Black Holes in Anti-de Sitter Space

A class of black hole solutions to Einstein’s equations in d dimensions with a negative cosmological constant is constructed. These solutions have the property that the horizon is a (d− 2)-dimensional manifold of constant curvature, but this curvature may be positive, zero, or negative. Asymptotically, the solutions are locally isometric to anti-de Sitter space. The mass, temperature, and entro...

Instability of charged black holes in anti - de Sitter space

A curious dichotomy in the physics of black holes is that they typically are thermodynamically unstable, in that they have negative specific heat; but in a classical treatment, they are stable against small perturbations of the metric (see for example [1, 2] for discussions of Schwarzschild and Kerr black holes in asymptotically flat space). In the past several years, following [3], there has b...

Black Holes in Anti-de Sitter Spacetime

Black holes in anti-de Sitter (AdS) spacetime are known to be thermodynamically stable against radiation, unlike their asymptotically flat counterparts. Moreover, Hawking and Page discovered that they exhibit a first-order phase transition. This was reinterpreted by Witten using the AdS/CFT correspondence as a confinement/deconfinement transition in the quark-gluon plasma. Extending the gauge/g...

Deformations of anti-de Sitter black holes