PIRSA Logo


PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

Pirsa: 19020079 - Formulations of General Relativity (Part 1 of 4)

Speaker(s):

Kirill Krasnov

Playing this video requires MP4 / H.264 support to be configured and enabled in your browser.

Download link (right click and 'save-as') for playing in VLC or other compatible player.

Download Video

Abstract:

The goal of this series is to collect various different formulations of General Relativity, with emphasis on four spacetime dimensions and formulations that use differential forms. The (non-exhaustive) list of formulations to be covered is per this plan:

 

Lecture 1): Motivations, followed by the usual Einstein-Hilbert to start with, first order Palatini, second order pure affine connection Eddington-Schroedinger.

Lecture 2) Cartan's geometry of soldering. First order Einstein-Cartan tetrad formulation, second order pure spin connection formulation, MacDowell-Mansouri formulation.

Lecture 3) Non-chiral BF-type formulations. Explicit pure spin connection Lagrangian, field redefinitions, BF plus potential for the 2-form field formulation.

Lecture 4) Chiral formulations in four dimensions. Chiral Einstein-Cartan, Plebanski formulation, pure SU(2) connection formulation, SU(2) BF plus potential for the 2-form field. Self-dual gravity. Concluding remarks. 

Valid XHTML 1.0!