Skip to main content
SpringerLink
Log in

The covariant derivative in the affine approach to general relativity

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The affine presentation of general relativity is considered and a possible generalisation of the definition of covariant derivative is proposed. Under certain weak symmetry conditions it is shown that the only theories resulting from this generalisation are general relativity and Weyl's theory, of which general relativity arises in the most natural way.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Schouten, J. A. (1954).Rica-Calculus, 2nd Ed., Chap 3. Springer.

  • Schrödinger, E. (1950).Space-time Structure. Cambridge University Press.

  • Weyl, H. (1952).Space, Time, Matter. Dover, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Goldsmiths' College, University of London, UK

    Brian Knight

Authors
  1. Brian Knight
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knight, B. The covariant derivative in the affine approach to general relativity. Int J Theor Phys 2, 301–307 (1969). https://doi.org/10.1007/BF00670017

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00670017

Keywords

Search

Navigation