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Mathematical Problems in General Relativity

Objectif

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.

Appel à propositions

ERC-2007-StG
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Régime de financement

ERC-SG - ERC Starting Grant

Institution d’accueil

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Contribution de l’UE
€ 500 000,00
Adresse
TRINITY LANE THE OLD SCHOOLS
CB2 1TN Cambridge
Royaume-Uni

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Région
East of England East Anglia Cambridgeshire CC
Type d’activité
Higher or Secondary Education Establishments
Chercheur principal
Michail Dafermos (Dr.)
Contact administratif
Renata Schaeffer (Ms.)
Liens
Coût total
Aucune donnée

Bénéficiaires (1)