Obiettivo 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. Campo scientifico natural sciencesphysical sciencesrelativistic mechanicsnatural sciencesphysical sciencesastronomyastrophysicsblack holes Parole chiave Einstein equations Partial Differential Equations Programma(i) 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) Argomento(i) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Invito a presentare proposte ERC-2007-StG Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-SG - ERC Starting Grant Istituzione ospitante THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Contributo UE € 500 000,00 Indirizzo TRINITY LANE THE OLD SCHOOLS CB2 1TN Cambridge Regno Unito Mostra sulla mappa Regione East of England East Anglia Cambridgeshire CC Tipo di attività Higher or Secondary Education Establishments Ricercatore principale Michail Dafermos (Dr.) Contatto amministrativo Renata Schaeffer (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Regno Unito Contributo UE € 500 000,00 Indirizzo TRINITY LANE THE OLD SCHOOLS CB2 1TN Cambridge Mostra sulla mappa Regione East of England East Anglia Cambridgeshire CC Tipo di attività Higher or Secondary Education Establishments Ricercatore principale Michail Dafermos (Dr.) Contatto amministrativo Renata Schaeffer (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato