9 citations · 9 across the 2 of their papers we have counts for
8 papers
Mass-like invariants for asymptotically hyperbolic metrics. Part I: Classification
Julien Cortier, Mattias Dahl, Romain Gicquaud
In this article, we classify the set of asymptotic mass-like invariants for asymptotically hyperbolic metrics. It turns out that the standard mass is just one example among the two…
On the center of mass of asymptotically hyperbolic initial data sets
Carla Cederbaum, Julien Cortier, Anna Sakovich
We define the (total) center of mass for suitably asymptotically hyperbolic time-slices of asymptotically anti-de Sitter spacetimes in general relativity. We do so in analogy to th…
On complete stationary vacuum initial data
Julien Cortier, Vincent Minerbe
We describe a proof of M.T. Anderson's result on the rigidity of complete stationary initial data for the Einstein vacuum equations in spacetime dimension 3 + 1, under an extra ass…
A family of asymptotically hyperbolic manifolds with arbitrary energy-momentum vectors
Julien Cortier
A family of non-radial solutions of the Yamabe equation, with reference the hyperbolic space, is constructed using power series. As a result, we obtain a family of asymptotically h…
Gluing construction of initial data with Kerr-de Sitter ends
Julien Cortier
We construct initial data sets which satisfy the vacuum constraint equa- tions of General Relativity with positive cosmologigal constant. More pre- silely, we deform initial data w…
On the structure of the ergosurface of Pomeransky-Senkov black rings
Julien Cortier
We study the properties of the ergosurface of the Pomeransky-Senkov black rings, and show that it splits into an "inner"' and an "outer" region. As for the singular set, the topolo…