We investigate the thermodynamics of a four-dimensional charged black hole in a finite cavity in asymptotically flat and asymptotically de Sitter space. In each case, we find a Hawking-Page-like phase transition between a black hole and a thermal gas very much like the known transition in asymptotically anti-de Sitter space. For a " supercooled " black hole—a thermodynamically unstable black ho...

We propose a new form of dimensional reduction that constrains dilatation instead of a component of momentum. It corresponds to replacing toroidal compactification in a Cartesian coordinate with that in the logarithm of the radius. Massive theories in de Sitter or anti de Sitter space are thus produced from massless (scale invariant) theories in one higher space or time dimension. As an example...

We examine the thermodynamic stability of large black holes in four-dimensional antide Sitter space, and we demonstrate numerically that black holes which lack local thermodynamic stability often also lack stability against small perturbations. This shows that no-hair theorems do not apply in anti-de Sitter space. A heuristic argument, based on thermodynamics only, suggests that if there are an...

From the requirement of continuous matching of bulk metric around the point of brane collision we derive a conservation law for collisions of p-branes in (p+2)-dimensional space-time. This conservation law relates energy densities on the branes before and after the collision. Using this conservation law we are able to calculate the amount of matter produced in the collision of orbifoldfixed bra...

We construct the gauge invariant part of the propagator for the massless gravitino in AdSd+1 by coupling it to a conserved current. We also derive the propagator for the massive gravitino. email: [email protected] email: [email protected]

We explore the bubble spacetimes which can be obtained from double analytic continuations of static and rotating black holes in anti-de Sitter space. In particular, we find that rotating black holes with elliptic horizon lead to bubble spacetimes only in dimension greater than five. For dimension greater than seven, the topology of the bubble can be non-spherical. However, a bubble spacetime is...

dS 4,1 spacetime, projective embedded coordinates and associated isometry groups Abstract This work is intended to investigate the de Sitter metric and to give another description of the hyperbolical embedding standard formalism of the de Sitter space-time in a pseudoeu-clidean space-time E 4,1. Classical results in this mathematical formulation are reviewed in a more general setting together w...

An intense study of the relationship between certain quantum theories of gravity realized on curved backgrounds and suitable gauge theories, has been originated by a remarkable conjecture put forward by Maldacena almost one year ago. Among the possible curved vacua of superstring or M–theory, spaces having the form of an Anti– de Sitter space–time times a compact Einstein manifold, have been pl...

In this paper, we prove the existence of maximal slices in anti-de Sitter spaces (ADS spaces) with small boundary data at spatial infinity. The main argument is implicit function theorem. We also get a necessary and sufficient condition for boundary behavior of totally geodesic slice in ADS space. Moreover, we show that any isometric and maximal embedding of hyperbolic spaces into ADS space mus...

We study the Lorentzian analogues of the squashed 3-sphere, namely 2+1 dimensional anti-de Sitter space squashed or stretched along fibres that are either spacelike or timelike. The causal structure, and the property of being an Einstein–Weyl space, depend critically on whether we squash or stretch. We argue that squashing, and stretching, completely destroys the conformal boundary of the unsqu...