Objective
"Einstein’s general relativity models gravity through the geometry of spacetime. While traditionally formulated within smooth differential geometry, the physics of general relativity has made it clear that such a smooth description is insufficient for key gravitational phenomena. This has motivated a surge in research in low-regularity spacetimes. The BASIL project explores the nature of black holes and singularities in such low-regularity settings, i.e. without assuming a smooth geometric structure. By combining new methods from Lorentzian metric geometry and optimal transport, it aims to advance our understanding of black holes and singularities beyond the classical smooth framework.
The first part investigates whether cosmological spacetimes can be extended beyond their past ""big bang"" singularity, focusing on $C^0$-inextendibility and applying Sbierski’s methods to identify obstructions to any such extension.
The second part examines whether $C^0$-inextendible spacetimes admit extensions as Lorentzian length spaces (the Lorentzian analogue of metric length space in metric geometry). It involves employing optimal transport techniques to estimate synthetic curvature bounds and link inextendibility to curvature blow-up.
The third part consists of defining conformal completion in Lorentzian length spaces, extending our prior work on conformal transformations. It involves developing the notion of asymptotic flatness using the optimal transport formulation of Einstein’s vacuum equations (Mondino-Suhr), and deriving criteria for conformal boundaries to be null, which are then used to define black holes.
The three research goals are thematically connected through their focus on low-regularity Lorentzian geometry, yet each addresses a distinct question using independent methods. Their success is not interdependent; rather, each will, on its own, significantly advance the understanding of the emerging phenomena of low-regularity spacetime geometry."
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: The European Science Vocabulary.
This project's classification has been human-validated.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
This project's classification has been human-validated.
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.1.2 - Marie Skłodowska-Curie Actions (MSCA)
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-MSCA-2025-PF
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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.
1010 Wien
Austria
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.