PIRSA:19020080 Scientific Series Quantum Gravity

DOI10.48660/19020080

Series: Quantum Gravity

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

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

@misc{ pirsa_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}}
}

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. 

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