Add to ORKGWe prove a general result on the extension of isometries from the boundary to the bulk related to the (Lorentzian) AdS/CFT correspondence. Under natural conditions, any global timelike Killing field at conformal infinity extends to a global timelike Killing field of any geodesically complete (non-singular) bounded solution of the vacuum Einstein equations with negative cosmological constant. A similar result holds for the extension of spatial Killing fields. These results imply the global (dynamical) uniqueness of anti-de Sitter spacetime and related asymptotically locally AdS solutions of the Einstein equations
The null splitting theorem (proved in math.DG/9909158) is discussed. As an application, a uniqueness...
In theoretical physics, it is often conjectured that a correspondence exists between the gravitatio...
All inextendible null geodesics in four dimensional de Sitter space dS^4 are complete and globally a...
In the first part of this work we show a uniqueness result for globally hyperbolic spacetimes with a...
We reconsider the unique continuation property for a general class of tensorial Klein-Gordon equatio...
We consider the question of whether solutions of Klein-Gordon equations on asymptotically Anti-de Si...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
We present the first proof-of-principle Cauchy evolutions of asymptotically global anti–de Sitter (A...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
We study the nonlinear evolution of a weakly perturbed anti-de Sitter (AdS) spacetime by solving num...
We review issues related to conservation laws for gravity with a negative cosmological constant subj...
We review issues related to conservation laws for gravity with a negative cosmological constant subj...
We generalize our unique continuation results recently established for a class of linear and nonline...
We review recent results by the author, in collaboration with Erwann Delay, Olivier Lengard, and Raf...
Abstract. Generalizing Riemannian theorems of Anderson-Herzlich and Biquard, we show that two (n+ 1)...
The null splitting theorem (proved in math.DG/9909158) is discussed. As an application, a uniqueness...
In theoretical physics, it is often conjectured that a correspondence exists between the gravitatio...
All inextendible null geodesics in four dimensional de Sitter space dS^4 are complete and globally a...
In the first part of this work we show a uniqueness result for globally hyperbolic spacetimes with a...
We reconsider the unique continuation property for a general class of tensorial Klein-Gordon equatio...
We consider the question of whether solutions of Klein-Gordon equations on asymptotically Anti-de Si...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
We present the first proof-of-principle Cauchy evolutions of asymptotically global anti–de Sitter (A...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
We study the nonlinear evolution of a weakly perturbed anti-de Sitter (AdS) spacetime by solving num...
We review issues related to conservation laws for gravity with a negative cosmological constant subj...
We review issues related to conservation laws for gravity with a negative cosmological constant subj...
We generalize our unique continuation results recently established for a class of linear and nonline...
We review recent results by the author, in collaboration with Erwann Delay, Olivier Lengard, and Raf...
Abstract. Generalizing Riemannian theorems of Anderson-Herzlich and Biquard, we show that two (n+ 1)...
The null splitting theorem (proved in math.DG/9909158) is discussed. As an application, a uniqueness...
In theoretical physics, it is often conjectured that a correspondence exists between the gravitatio...
All inextendible null geodesics in four dimensional de Sitter space dS^4 are complete and globally a...