Cel The proposed project concerns the study of mathematical aspects of the general theory of relativity. Major unsolved problems in the area include the problem of nonlinear stability of black hole spacetimes and the problem of weak and strong cosmic censorship. Mathematically, these problems concern the global dynamics of solutions to the Einstein equations. Resolution of these problems is of fundamental importance both to our understanding of the nature of the theory of relativity and to our assessment of its validity. In previous work, I have addressed these problems either under symmetry reductions or in linearised settings. These studies have revealed much of the mathematical structure of the dynamics of the Einstein equations in the context of black holes. Further progress extending beyond symmetry or linearised theory now appears possible. A research programme with this as a goal will be outlined in the proposal. Dziedzina nauki natural sciencesphysical sciencesrelativistic mechanicsnatural sciencesphysical sciencesastronomyastrophysicsblack holes Słowa kluczowe Einstein equations Partial Differential Equations Program(-y) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Zaproszenie do składania wniosków ERC-2007-StG Zobacz inne projekty w ramach tego zaproszenia System finansowania ERC-SG - ERC Starting Grant Instytucja przyjmująca THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Wkład UE € 500 000,00 Adres TRINITY LANE THE OLD SCHOOLS CB2 1TN Cambridge Zjednoczone Królestwo Zobacz na mapie Region East of England East Anglia Cambridgeshire CC Rodzaj działalności Higher or Secondary Education Establishments Kierownik naukowy Michail Dafermos (Dr.) Kontakt administracyjny Renata Schaeffer (Ms.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych Beneficjenci (1) Sortuj alfabetycznie Sortuj według wkładu UE Rozwiń wszystko Zwiń wszystko THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Zjednoczone Królestwo Wkład UE € 500 000,00 Adres TRINITY LANE THE OLD SCHOOLS CB2 1TN Cambridge Zobacz na mapie Region East of England East Anglia Cambridgeshire CC Rodzaj działalności Higher or Secondary Education Establishments Kierownik naukowy Michail Dafermos (Dr.) Kontakt administracyjny Renata Schaeffer (Ms.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
