4 papers
Kerr-AdS type higher dimensional black holes with non-spherical cross-sections of horizons
Piotr T. Chruściel, Wan Cong, Finnian Gray
We construct, in even spacetime dimensions, a family of singularity-free Kerr-Anti-de Sitter-like black holes with negatively curved cross-sections of conformal infinity and non-sp…
Cauchy problems for Einstein equations in three-dimensional spacetimes
Piotr T. Chruściel, Wan Cong, Théophile Quéau +1
We analyze existence and properties of solutions of two-dimensional general relativistic initial data sets with a negative cosmological constant, both on spacelike and characterist…
Characteristic Gluing with : III. High-differentiability nonlinear gluing
Piotr T. Chruściel, Wan Cong, Finnian Gray
We prove a nonlinear characteristic -gluing theorem for vacuum gravitational fields in Bondi gauge for a class of characteristic hypersurfaces near static vacuum -dimension…
Characteristic Gluing with : II. Linearised equations in higher dimensions
Wan Cong, Piotr T. Chruściel, Finnian Gray
We prove a gluing theorem for linearised vacuum gravitational fields in Bondi gauge on a class of characteristic hypersurfaces in static vacuum -dimensional backgrounds with…