Objective
The present proposal is concerned with the global analysis of solutions to the Einstein equations of general relativity. This subject lies at the intersection of the analysis of partial differential equations, differential geometry and theoretical physics and is a field of intense current activity, with several important advances having been achieved in the last decade only.
The main objective of the proposal is to establish a research group based at Imperial College to develop novel mathematical techniques that would allow one to move considerably beyond the current limits of the field. These techniques will be devised and mature in the context of two fundamental problems, which we intend to solve.
1) Instability of AdS: The stability of Minkowski space and the stability of de Sitter space are celebrated theorems in mathematical general relativity. In contrast, the dynamics near Anti de Sitter (AdS) space, the maximally symmetric solution with negative cosmological constant, is mathematically entirely unexplored. Heuristic andnumerical arguments suggest instability of this spacetime. Instability problems are typically much more intricate than stability problems and require very different techniques. A rigorous proof of instability would resolve a major conjecture in general relativity and have important implications for theoretical physics.
2) The Black Hole Stability Problem: A central problem of general relativity is to prove the full non-linear stability of the 2-parameter Kerr family of black holes. Very recently, the dynamics of linear waves on such stationary black holes has been satisfactorily understood. The proposal suggests to suitably enhance the techniques developed for linear scalar waves to be applicable in the non-linear, tensorial setting of of the Einstein equations. Key will be to establish important estimates on the curvature in a class of (non-stationary) spacetimes which are assumed to converge to a fixed member of the Kerr family.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences physical sciences relativistic mechanics
- natural sciences physical sciences astronomy astrophysics black holes
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences computer and information sciences artificial intelligence heuristic programming
- natural sciences physical sciences theoretical physics
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2013-StG
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
SW7 2AZ LONDON
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.