π Tender Overview
The Mathematical Analysis Of Extremal Black Holes And Gravitational Radiation
Funded Under
European Research Council (Erc)
Total Cost
β¬ 1 497 500,00
Eu Contribution
β¬ 1 497 500,00
Coordinated By
Universitaet Leipzig
Germany
Objective
"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 solutions to the Einstein equations. They sit at the transition between black holes and ""naked singularities"" and exhibit critical geometric features.