3 papers
gr-qc2026
Static vacuum metrics in (4 + 1) dimensions with Î < 0 and squashed conformal infinity
Piotr T. ChruÅciel, Jiaxin Song, Raphaela Wutte +2
We construct numerically two families of static five-dimensional Lorentzian metrics, solutions of vacuum Einstein equations with a negative cosmological constant, one with and one…
math.DG2026
Static Vacuum Spacetimes with as Attractors of the Ricci-Harmonic Flow
Rasmus Jouttijärvi, Klaus Kroencke, Louis Yudowitz
We prove dynamical stability and instability theorems for asymptotically hyperbolic static solutions of Einstein's equation with , viewed as self-similar solutions of the Ric…
math.DG2026
On pp-waves with lightlike parallel spinors
Bernd Ammann, Jonathan Glöckle, Klaus Kroencke
We parametrize pp-wave spacetimes with compact codimension 2 hypersurfaces. In the vacuum case, we show that these spacetimes are locally in one-to-one correspondence with smooth c…