37 citations · 139 across the 15 of their papers we have counts for
19 papers
Almost-splitting of spacetimes under timelike sectional curvature bounds
Nicola Gigli, Melanie Graf, Robert J. McCann +3
We establish an almost-splitting theorem for spacetimes under timelike sectional curvature bounds in the spirit of the celebrated Riemannian result due to Cheeger and Colding. More…
On the affine parametrization of null geodesics in low regularity
Saúl Burgos, Leonardo García-Heveling, Melanie Graf
In low-regularity spacetimes and Lorentzian length spaces, achronal causal curves play the role of null (pre-)geodesics. Because of the lack of a geodesic equation, they do not com…
Equivalence of the null energy condition to variable lower bounds on the timelike Ricci curvature for -Lorentzian metrics
Melanie Graf, Yaver Gulusoy
The null energy or null convergence condition (NEC) is one of the fundamental assumptions necessary for many celebrated results from Lorentzian Geometry and Mathematical General Re…
-inextendibility of FLRW spacetimes within a subclass of axisymmetric spacetimes
Melanie Graf, Marco van den Beld-Serrano
Starting from the proof of the -inextendibility of Schwarzschild by Sbierski, the past decade has seen renewed interest in showing low-regularity inextendibility for known spa…
Coordinates are messy -- not only in General Relativity
Carla Cederbaum, Melanie Graf
The coordinate freedom of General Relativity makes it challenging to find mathematically rigorous and physically sound definitions for physical quantities such as the center of mas…
Uniqueness of maximal spacetime boundaries
Melanie Graf, Marco van den Beld-Serrano
Given an extendible spacetime one may ask how much, if any, uniqueness can in general be expected of the extension. Locally, this question was considered and comprehensively answer…