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Introduction

Published online by Cambridge University Press:  06 November 2020

Kirill Krasnov
Affiliation:
University of Nottingham
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Summary

Historical introduction into the topic of formulations of General Relativity with their associated mathematical formalisms. We review the history of the idea that gravity is geometry, as well as the history of development of main geometical ideas of modern differential geometry. We start with metric geometry of Riemann, Levi and Civita, and describe the main contributions of Cartan. We touch upon the fact that spinors and differential forms are closely related, first observed by Chevalley. We give arguments for why formalisms based on differential forms may be superrior to the metric one.

Type
Chapter
Information
Formulations of General Relativity
Gravity, Spinors and Differential Forms
, pp. 1 - 7
Publisher: Cambridge University Press
Print publication year: 2020

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  • Introduction
  • Kirill Krasnov, University of Nottingham
  • Book: Formulations of General Relativity
  • Online publication: 06 November 2020
  • Chapter DOI: https://doi.org/10.1017/9781108674652.002
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  • Introduction
  • Kirill Krasnov, University of Nottingham
  • Book: Formulations of General Relativity
  • Online publication: 06 November 2020
  • Chapter DOI: https://doi.org/10.1017/9781108674652.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction
  • Kirill Krasnov, University of Nottingham
  • Book: Formulations of General Relativity
  • Online publication: 06 November 2020
  • Chapter DOI: https://doi.org/10.1017/9781108674652.002
Available formats
×