Objective
The mathematical formalism of general relativity is grounded in Riemannian geometry, which endows the spacetime manifold with a Lorentzian metric whose curvature encodes the gravitational field. This framework has been remarkably successful in describing wide range of physical phenomena, from black holes to cosmology. Nevertheless, in certain regimes, such as asymptotic regions or near initial singularities, alternative structures arising from conformal or projective differential geometry provide insight inaccessible from the Riemannian perspective.
The goal of the proposed project is to adapt a natural mathematical framework designed for conformal and projective differential geometry to study fundamental problems in general relativity that are beyond the scope of Riemannian methods.
The specific research objectives are:
(i) establish the relation between the conformal geometry and stress–energy tensor of asymptotically de Sitter spacetimes;
(ii) derive quasi-local and global invariants of spacetimes with positive cosmological constant;
(iii) develop a projective tractor calculus approach to asymptotically flat spacetimes.
These goals will be pursued in collaboration with Piotr Chruściel (Center for Theoretical Physics, Polish Academy of Sciences) and Rod Gover (University of Auckland). Using the machinery of tractor calculus, the project develops a novel geometric approach to the asymptotic structure of spacetimes in general relativity. A key component will be the development of a computer algebra framework specifically designed for the study of conformal and projective geometry.
Fields of science (EuroSciVoc)
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
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HORIZON.4.1 - Widening participation and spreading excellence
MAIN PROGRAMME
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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.
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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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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.
(opens in new window) HORIZON-WIDERA-2025-TALENTS-01
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
02-668 WARSZAWA
Poland
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.