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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…
A conformal infinity approach to asymptotically spacetimes
Gregory J. Galloway, Melanie Graf, Eric Ling
It is well known that the spacetime arises as the `near horizon' geometry of the extremal Reisser-Nordstrom solution, and for that reason it has been studi…
Singularity theorems for -Lorentzian metrics
Melanie Graf
Continuing recent efforts in extending the classical singularity theorems of General Relativity to low regularity metrics, we give a complete proof of both the Hawking and the Penr…
Rigidity of asymptotically spacetimes
Gregory J. Galloway, Melanie Graf
The spacetime is well known to arise as the 'near horizon' geometry of the extremal Reissner-Nordstrom solution, and for that reason it has been studied in conne…