Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 Aspects of Differential Geometry
- 2 Metric and Related Formulations
- 3 Cartan’s Tetrad Formulation
- 4 General Relativity in 2+1 Dimensions
- 5 The ‘Chiral’ Formulation of General Relativity
- 6 Chiral Pure Connection Formulation
- 7 Deformations of General Relativity
- 8 Perturbative Descriptions of Gravity
- 9 Higher-Dimensional Descriptions
- 10 Concluding Remarks
- References
- Index
4 - General Relativity in 2+1 Dimensions
Published online by Cambridge University Press: 06 November 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 Aspects of Differential Geometry
- 2 Metric and Related Formulations
- 3 Cartan’s Tetrad Formulation
- 4 General Relativity in 2+1 Dimensions
- 5 The ‘Chiral’ Formulation of General Relativity
- 6 Chiral Pure Connection Formulation
- 7 Deformations of General Relativity
- 8 Perturbative Descriptions of Gravity
- 9 Higher-Dimensional Descriptions
- 10 Concluding Remarks
- References
- Index
Summary
This is a short Chapter introducing an index-free notation for 2+1 gravity, which encodes all objects into 2x2 matrix-valued one-forms. We then describe the Chern-Simons formulation of 2+1 gravity, as well as the pure spin connection formulation.
Keywords
- Type
- Chapter
- Information
- Formulations of General RelativityGravity, Spinors and Differential Forms, pp. 125 - 131Publisher: Cambridge University PressPrint publication year: 2020