PIRSA:19020080

Formulations of General Relativity (Part 2 of 4)

APA

Krasnov, K. (2019). Formulations of General Relativity (Part 2 of 4) . Perimeter Institute. https://pirsa.org/19020080

MLA

Krasnov, Kirill. Formulations of General Relativity (Part 2 of 4) . Perimeter Institute, Feb. 25, 2019, https://pirsa.org/19020080

BibTex

          @misc{ pirsa_19020080,
            doi = {10.48660/19020080},
            url = {https://pirsa.org/19020080},
            author = {Krasnov, Kirill},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Formulations of General Relativity (Part 2 of 4) },
            publisher = {Perimeter Institute},
            year = {2019},
            month = {feb},
            note = {PIRSA:19020080 see, \url{https://pirsa.org}}
          }
          

Kirill Krasnov University of Nottingham

Collection
Talk Type Scientific Series
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.