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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…
Initial data rigidity implies spacetime rigidity
Jonathan Glöckle
In this article, we revisit the initial data rigidity theorem of Eichmair, Galloway and Mendes (arxiv:2009.09527). The goal is to strengthen their result by showing that the initia…
An Enlargeability Obstruction for Spacetimes with both Big Bang and Big Crunch
Jonathan Glöckle
Given a spacelike hypersurface of a time-oriented Lorentzian manifold , the pair consisting of the induced Riemannian metric and the…
Dominant energy condition and spinors on Lorentzian manifolds
Bernd Ammann, Jonathan Glöckle
Let be a time- and space-oriented Lorentzian spin manifold, and let be a compact spacelike hypersurface of with induced Riemannian met…