Gajic Lab

University of Leipzig

Sachsen (DED) · Germany

ERC-funded
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Research focus

ERC Starting Grant · 2023

The Mathematical Analysis of Extremal Black Holes and Gravitational Radiation

The Einstein equations constitute a system of geometric, nonlinear partial differential equations that describe gravitational dynamics in the framework of Einstein's theory of general relativity. The last decade has seen tremendous progress towards understanding dynamical aspects of the Einstein equations. At the mathematical level, great insight has been gained due to recent advances in the study of partial differential equations, differential geometry and microlocal analysis. The present proposal builds upon these advances in the context of the following two mathematical problems. Stability and instability of extremal black holes: Extremal Kerr black holes describe rapidly rotating…

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