On the Euclidean action of de Sitter black holes and constrained instantons

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 ...

Deformations of anti-de Sitter black holes

Geometrothermodynamics of asymptotically de Sitter black holes

We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines the geometry of the space of equilibrium states. For all known black holes in higher dimensions, we show that the curvature scalar of the thermodynamic metric...

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...

Eternal black holes in Anti-de-Sitter

We propose a dual non-perturbative description for maximally extended Schwarzschild Anti-de-Sitter spacetimes. The description involves two copies of the conformal field theory associated to the AdS spacetime and an initial entangled state. In this context we also discuss a version of the information loss paradox and its resolution.