Add to ORKGWe prove an inequality relating the trace of the extrinsic curvature, the total angular momentum, the centre of mass, and the Trautman-Bondi mass for a class of gravitational initial data sets with constant mean curvature extending to null infinity. As an application we obtain non-existence results for the asymptotic Dirichlet problem for CMC hypersurfaces in stationary space-times
Abstract. The (relativistic) center of mass of an asymptotically flat Rie-mannian manifold is often ...
International audienceWe present the key elements of the proof of an upper bound for angular-momentu...
We study Cauchy initial data for asymptotically flat, stationary vacuum spacetimes near spacelike in...
We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and co...
The constraints on the asymptotic behavior of the conformal factor and conformal extrinsic curvature...
We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and co...
We prove the existence of a large class of asymptotically flat initial data with non-vanishing mass ...
We give a definition of mass for conformally compactifiable initial data sets. The asymptotic condit...
I describe the construction of a large class of asymptotically flat initial data with non-vanishing ...
In many situations in Newtonian gravity, understanding the motion of the center of mass of a system ...
We propose a new foliation of asymptotically Euclidean initial data sets by 2-spheres of constant sp...
Abstract. The energy and angular momentum at null infinity are presented with the help of a simple e...
Motivated by our attempt to understand the question of angular momentum of a relativistic rotating s...
We prove that extreme Kerr initial data set is a unique absolute minimum of the total mass in a (phy...
Abstract. In 1996, Huisken-Yau proved that every three-dimensional Rie-mannian manifold can be uniqu...
Abstract. The (relativistic) center of mass of an asymptotically flat Rie-mannian manifold is often ...
International audienceWe present the key elements of the proof of an upper bound for angular-momentu...
We study Cauchy initial data for asymptotically flat, stationary vacuum spacetimes near spacelike in...
We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and co...
The constraints on the asymptotic behavior of the conformal factor and conformal extrinsic curvature...
We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and co...
We prove the existence of a large class of asymptotically flat initial data with non-vanishing mass ...
We give a definition of mass for conformally compactifiable initial data sets. The asymptotic condit...
I describe the construction of a large class of asymptotically flat initial data with non-vanishing ...
In many situations in Newtonian gravity, understanding the motion of the center of mass of a system ...
We propose a new foliation of asymptotically Euclidean initial data sets by 2-spheres of constant sp...
Abstract. The energy and angular momentum at null infinity are presented with the help of a simple e...
Motivated by our attempt to understand the question of angular momentum of a relativistic rotating s...
We prove that extreme Kerr initial data set is a unique absolute minimum of the total mass in a (phy...
Abstract. In 1996, Huisken-Yau proved that every three-dimensional Rie-mannian manifold can be uniqu...
Abstract. The (relativistic) center of mass of an asymptotically flat Rie-mannian manifold is often ...
International audienceWe present the key elements of the proof of an upper bound for angular-momentu...
We study Cauchy initial data for asymptotically flat, stationary vacuum spacetimes near spacelike in...