Add to ORKGWe study the question of local and global uniqueness of completions, based on null geodesics, of Lorentzian manifolds. We show local uniqueness of such boundary extensions. We give a necessary and sufficient condition for existence of unique maximal completions. The condition is verified in several situations of interest. This leads to existence and uniqueness of maximal spacelike conformal boundaries, of maximal strongly causal boundaries, as well as uniqueness of conformal boundary extensions for asymptotically simple space-times. Examples of applications include the definition of mass, or the classification of inequivalent extensions across a Cauchy horizon of the Taub space-time
We prove theorems on existence, uniqueness and smoothness of maximal and constant mean curvature com...
We prove theorems on existence, uniqueness and smoothness of maximal and constant mean curvature com...
Abstract. In this note we clarify the relationship between the null geodesic completeness of an Eins...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question ...
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question ...
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question ...
Open access version at https://projecteuclid.org/euclid.jdg/1563242472We prove a local well-posednes...
Two separate groups of results are considered. First, the concept of causal completeness first defin...
We define a family of model spaces for 2-dimensional Lorentzian geometry, consisting of simply conne...
In the first part of this work we show a uniqueness result for globally hyperbolic spacetimes with a...
We define a family of model spaces for 2-dimensional Lorentzian geometry, consisting of simply conne...
We prove that a locally symmetric and null-complete Lorentz manifold is geodesically complete
We prove theorems on existence, uniqueness and smoothness of maximal and constant mean curvature com...
We prove theorems on existence, uniqueness and smoothness of maximal and constant mean curvature com...
Abstract. In this note we clarify the relationship between the null geodesic completeness of an Eins...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
We study the question of local and global uniqueness of completions, based on null geodesics, of Lor...
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question ...
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question ...
The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question ...
Open access version at https://projecteuclid.org/euclid.jdg/1563242472We prove a local well-posednes...
Two separate groups of results are considered. First, the concept of causal completeness first defin...
We define a family of model spaces for 2-dimensional Lorentzian geometry, consisting of simply conne...
In the first part of this work we show a uniqueness result for globally hyperbolic spacetimes with a...
We define a family of model spaces for 2-dimensional Lorentzian geometry, consisting of simply conne...
We prove that a locally symmetric and null-complete Lorentz manifold is geodesically complete
We prove theorems on existence, uniqueness and smoothness of maximal and constant mean curvature com...
We prove theorems on existence, uniqueness and smoothness of maximal and constant mean curvature com...
Abstract. In this note we clarify the relationship between the null geodesic completeness of an Eins...