2023 - T2 - WS3 - Dg-manifolds in geometry and physics

Collection 2023 - T2 - WS3 - Dg-manifolds in geometry and physics

Organizer(s) Hélein, Frédéric ; Ginot, Grégory ; Laurent-Gengoux, Camille

Date(s) 03/07/2023 - 07/07/2023

linked URL https://indico.math.cnrs.fr/event/7885/

00:00:00 / 00:00:00

2 4

Generalised Frame Bundles and Einstein's Equation

By Jérémie Pierard de Maujouy

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.

Information about the video

Date of recording 07/07/2023
Date of publication 07/07/2023
Institution IHP
Language English
Audience Researchers, Graduate Students
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Domain(s)

Mathematical Physics

Bibliography

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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