28 citations · 172 across the 17 of their papers we have counts for
4 papers · 1 filter
Lorentzian length spaces
Michael Kunzinger, Clemens Sämann
We introduce an analogue of the theory of length spaces into the setting of Lorentzian geometry and causality theory. The rôle of the metric is taken over by the time separation fu…
On geodesics in low regularity
Clemens Sämann, Roland Steinbauer
We consider geodesics in both Riemannian and Lorentzian manifolds with metrics of low regularity. We discuss existence of extremal curves for continuous metrics and present several…
Penrose junction conditions extended: impulsive waves with gyratons
Jiri Podolsky, Robert Svarc, Roland Steinbauer +1
We generalize the classical junction conditions for constructing impulsive gravitational waves by the Penrose "cut and paste" method. Specifically, we study nonexpanding impulses w…
Geodesics in nonexpanding impulsive gravitational waves with , II
Clemens Sämann, Roland Steinbauer
We investigate all geodesics in the entire class of nonexpanding impulsive gravitational waves propagating in an (anti-)de Sitter universe using the distributional metric. We exten…