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ScattHoloGr
Scattering, holography and gravity
FunderFrench National Research Agency (ANR)
Funder Contribution €314,434.00
DurationFrom 01 Jan 2026
Project codeANR-25-CE40-4883
Identifiers
Description
Asymptotic analysis in general relativity is central for a large set of questions in contemporary mathematics and physics: modelling isolated systems and gravitational waves detection, stability of exact solutions of Einstein’s equations but also quantum field theory. Our purpose is to develop systematically scattering theory in general relativity using conformal and projective geometrical methods. The notion of scattering is linked to the idea of offering an intrinsic description of the whole evolution of a field, summarised in the passage from its asymptotic data in the past to those in the future; this point of view has a natural compatibility with the framework of perturbative methods in field theory and, in principle, it gives these methods a rigorous analytic basis. The geometrical approaches that we shall be using, conformal and projective, allow to develop scattering constructions in radiative and non stationary frameworks more easily than spectral methods. We shall develop further scattering theory for massless fields, strengthen the foundation of scattering for massive fields, that is more broadly open especially as far as the geometrical approach is concerned, and, finally, explore inverse scattering theory for massive and massless fields. The most ambitious part of the project aims at extending the range of application of scattering to linearised gravity on non trivial backgrounds and then to full gravity. This extension will be guided by necessary conditions for such scattering processes, which have appeared in the physics literature, particularly in quantum field theory. This would yield an analytical proof that gravitational scattering is BMS (rather than Poincaré) invariant and would thus serve as a foundational result in the field of flat (or celestial) holography.
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Asymptotic analysis in general relativity is central for a large set of questions in contemporary mathematics and physics: modelling isolated systems and gravitational waves detection, stability of exact solutions of Einstein’s equations but also quantum field theory. Our purpose is to develop systematically scattering theory in general relativity using conformal and projective geometrical methods. The notion of scattering is linked to the idea of offering an intrinsic description of the whole evolution of a field, summarised in the passage from its asymptotic data in the past to those in the future; this point of view has a natural compatibility with the framework of perturbative methods in field theory and, in principle, it gives these methods a rigorous analytic basis. The geometrical approaches that we shall be using, conformal and projective, allow to develop scattering constructions in radiative and non stationary frameworks more easily than spectral methods. We shall develop further scattering theory for massless fields, strengthen the foundation of scattering for massive fields, that is more broadly open especially as far as the geometrical approach is concerned, and, finally, explore inverse scattering theory for massive and massless fields. The most ambitious part of the project aims at extending the range of application of scattering to linearised gravity on non trivial backgrounds and then to full gravity. This extension will be guided by necessary conditions for such scattering processes, which have appeared in the physics literature, particularly in quantum field theory. This would yield an analytical proof that gravitational scattering is BMS (rather than Poincaré) invariant and would thus serve as a foundational result in the field of flat (or celestial) holography.
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Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. 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Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. Provider Academic Bibliometrics & Assessment Computational Utility Service Expiration Session Name greekSession Description Stores the user session ID for Academic Bibliometrics & Assessment Computational Utility Service. 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