Research Interests for Carla Cederbaum

(Differential) Geometry, Geometric Analysis, Calculus of Variations, and General Relativity are my main mathematical interests. I particularly enjoy working on problems that are related to physics.

So far, I have mainly been working on static metrics. My aim is to obtain a deeper understanding of their geometry and to gain more insight into their physical interpretation (mass, center of mass, behaviour of test bodies etc.). To this end, I am also studying their Newtonian limit using Jürgen Ehlers' frame theory. In the future, I can hopefully extend my results to more general settings.

Together with Jörg Hennig and Marcus Ansorg, I have moreover studied an inequality for stationary and axisymmetric black holes.

Recent Publications

1. Carla Cederbaum, The Newtonian Limit of Geometrostatics (July, 2011) (PhD thesis.) [FUDISS_thesis_000000023871]
2. Jörg Hennig, Marcus Ansorg, Carla Cederbaum, Universal properties of distorted Kerr-Newman black holes, Gen. Relativ. Gravit., vol. 43 (2011), pp. 1205 [arXiv:1005.3128]
3. Jörg Hennig, Carla Cederbaum, Marcus Ansorg, A universal inequality for axisymmetric and stationary black holes with surrounding matter in the Einstein-Maxwell theory, Comm. Math. Phys., vol. 293 no. 2 (2010), pp. 449–467 [arXiv:0812.2811]
4. Jörg Hennig, Marcus Ansorg, Carla Cederbaum, A universal inequality between the angular momentum and horizon area for axisymmetric and stationary black holes with surrounding matter, Classical Quantum Gravity, vol. 25 no. 16 (2008), pp. 162002 [arXiv:0805.4320]