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Generalised Frame Bundles and Einstein's Equation

De Jérémie Pierard de Maujouy

Apparaît dans la collection : 2023 - T2 - WS3 - Dg-manifolds in geometry and physics

We introduce the structure of generalised frame bundles, which generalises that of frame bundles with connection by keeping only the local part of the structure.

This definition is motivated by a Lagrangian field theory which we will present. Its solution fields define on the 10-dimensional source manifold a structure of generalised frame bundle which satisfy further equations.

Some of these equations are shown to imply Einstein's equation in the case of a standard frame bundle and therefore can be used as a suitable generalisation thereof.

Informations sur la vidéo

Date de captation 07/07/2023
Date de publication 07/07/2023
Institut IHP
Licence CC BY-NC-ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Alexandre Duplessis
Format MP4
Lieu IHP - Hermite Amphitheater

Données de citation

DOI 10.57987/IHP.2023.T2.WS3.019
Citer cette vidéo Pierard de Maujouy, Jérémie (07/07/2023). Generalised Frame Bundles and Einstein's Equation. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T2.WS3.019
URL https://dx.doi.org/10.57987/IHP.2023.T2.WS3.019

Domaine(s)

Physique mathématique

Bibliographie

arXiv:1508.07765 [math-ph], Curved space-times by crystallization of liquid fiber bundles, Hélein, Vey
arXiv:2201.01108 [math-ph] Dirac Spinors on Generalised Frame Bundles: a frame bundle formulation for Einstein-Cartan-Dirac theory, P. de M.

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