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
Palabras clave
Convocatoria de propuestas
ERC-2007-StG
Consulte otros proyectos de esta convocatoria
Régimen de financiación
ERC-SG - ERC Starting GrantInstitución de acogida
CB2 1TN Cambridge
Reino Unido