18 citations
- Laboratoire de Mathématiques Blaise PascalFR23 papers
- Université d'Avignon et des Pays de VaucluseFR7 papers
- Biostatistique et processus spatiauxFR5 papers
- University of ViennaAT5 papers
- Laboratoire de Mécanique et d’AcoustiqueFR3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Aarhus UniversityDK1 paper
- Analyse, Géométrie et ModélisationFR1 paper
- Center for Excellence in Eye CareUS1 paper
- Délégation Provence et CorseFR1 paper
- École Nationale Supérieure d'Électrotechnique, d'Électronique, d'Informatique, d'Hydraulique et des TélécommunicationsFR1 paper
- Entrepôts, Représentation et Ingénierie des ConnaissancesFR1 paper
6 papers · 1 filter
Non-singular spacetimes with a negative cosmological constant: II. Static solutions of the Einstein-Maxwell equations
Piotr Chrusciel, Erwann Delay
We construct infinite-dimensional families of non-singular static space times, solutions of the vacuum Einstein-Maxwell equations with a negative cosmological constant. The familie…
Cauchy-Compact flat spacetimes with BTZ singularities
Léo Brunswic
The zoology of singularities for Lorentzian manifold is slightly more complicated than for Riemannian manifolds. Our present work study Cauchy-compact globally hyperbolic singular…
Pappus Theorem, Schwartz Representations and Anosov Representations
Thierry Barbot, Gye-Seon Lee, Viviane Pardini Valério
In the paper "Pappus's theorem and the modular group", R. Schwartz constructed a 2-dimensional family of faithful representations of the modular group $\mathrm{PSL}(2,\mathbb…
Hilbert manifold structure for asymptotically hyperbolic relativistic initial data
Erwann Delay, Jérémie Fougeirol
We provide a Hilbert manifold structure {à} la Bartnik for the space of asymptotically hyperbolic initial data for the vacuum constraint equations. The adaptation led us to prove n…
BTZ extensions of globally hyperbolic singular flat spacetimes
Léo Brunswic
Minkowski space is the local model of 3 dimensionnal flat spacetimes. Recent progress in the description of globally hyperbolic flat spacetimes showed strong link between Lorentzia…
Conformally covariant parameterizations for relativistic initial data
Erwann Delay
We revisit the Lichnerowicz-York method, and an alternative method of York, in order to obtain some conformally covariant systems. This type of parameterization is certainly more n…