Objetivo 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. Ámbito científico natural sciencesphysical sciencesrelativistic mechanicsnatural sciencesphysical sciencesastronomyastrophysicsblack holes Palabras clave Einstein equations Partial Differential Equations Programa(s) 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) Tema(s) ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations Convocatoria de propuestas ERC-2007-StG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-SG - ERC Starting Grant Institución de acogida THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Aportación de la UE € 500 000,00 Dirección TRINITY LANE THE OLD SCHOOLS CB2 1TN Cambridge Reino Unido Ver en el mapa Región East of England East Anglia Cambridgeshire CC Tipo de actividad Higher or Secondary Education Establishments Investigador principal Michail Dafermos (Dr.) Contacto administrativo Renata Schaeffer (Ms.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Reino Unido Aportación de la UE € 500 000,00 Dirección TRINITY LANE THE OLD SCHOOLS CB2 1TN Cambridge Ver en el mapa Región East of England East Anglia Cambridgeshire CC Tipo de actividad Higher or Secondary Education Establishments Investigador principal Michail Dafermos (Dr.) Contacto administrativo Renata Schaeffer (Ms.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos