Exotic hyperbolic gluings

Piotr T. Chrusciel (1) , Erwann Delay (2)

1 Faculty of Physics [Vienna]
2 LMA - EA2151 Laboratoire de Mathématiques d'Avignon

We carry out "exotic gluings" a la Carlotto-Schoen for asymptotically hyperbolic general relativistic initial data sets. In particular we obtain a direct construction of non-trivial initial data sets which are exactly hyperbolic in large regions extending to conformal infinity.

Domaines: Mathématiques [math]; Géométrie différentielle [math.DG]; Relativité Générale et Cosmologie Quantique [gr-qc]; Equations aux dérivées partielles [math.AP]

Piotr T. Chrusciel, Erwann Delay. Exotic hyperbolic gluings. 2015. ⟨hal-01233383⟩