PIRSA:19020079

Formulations of General Relativity (Part 1 of 4)

Krasnov, K. (2019). Formulations of General Relativity (Part 1 of 4) . Perimeter Institute. https://pirsa.org/19020079

Krasnov, Kirill. Formulations of General Relativity (Part 1 of 4) . Perimeter Institute, Feb. 25, 2019, https://pirsa.org/19020079 

          @misc{ pirsa_PIRSA:19020079,
            doi = {10.48660/19020079},
            url = {https://pirsa.org/19020079},
            author = {Krasnov, Kirill},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Formulations of General Relativity (Part 1 of 4) },
            publisher = {Perimeter Institute},
            year = {2019},
            month = {feb},
            note = {PIRSA:19020079 see, \url{https://pirsa.org}}
          }

Kirill Krasnov

University of Nottingham

Talk number
PIRSA:19020079
Collection
Talk Type
Subject
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.