Skip to main content
Log in

A Finslerian extension of general relativity

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

A Finslerian extension of general relativity is examined with particular emphasis on the Finslerian generalization of the equation of motion in a gravitational field. The construction of a gravitational Lagrangian density by substituting the osculating Riemannian metric tensor in the Einstein density is studied. Attention is drawn to an interesting possibility for developing the theory of test bodies against the Finslerian background.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Cavalleri and G. Spinelli,Nuov. Cim. 33B, 796 (1976).

    Google Scholar 

  2. G. Cavalleri and G. Spinelli,Nuov. Cim. 39B, 93 (1977).

    Google Scholar 

  3. I. W. Roxburgh and R. K. Tawakol,Gen. Rel. Grav. 10, 307 (1979).

    Google Scholar 

  4. G. S. Asanov,Nuov. Cim. 49B, 221 (1979).

    Google Scholar 

  5. G. S. Asanov, inProceedings of GR9, Jena (1980), to be published.

  6. H. Rund,The Differential Geometry of Finsler Spaces (Springer-Verlag, Berlin, 1959).

    Google Scholar 

  7. A. H. Taub,Phys. Rev. 94, 1468 (1954).

    Google Scholar 

  8. J. L. Synge,Relativity: The General Theory (North-Holland, Amsterdam, 1960).

    Google Scholar 

  9. H. Rund,Arch. Rat. Mech. Anal. 71, 199 (1979).

    Google Scholar 

  10. R. Baumeister,Utilitas Mathematica 18, 189 (1980).

    Google Scholar 

  11. D. Lovelock and H. Rund,Tensors, Differential Forms and Variational Principles (Wiley, New York, 1975).

    Google Scholar 

  12. H. Rund, inTopics in Differential Geometry (Academic Press, New York, 1976), pp. 111–133.

    Google Scholar 

  13. G. S. Asanov,Found. Phys. 10, 855 (1980).

    Google Scholar 

  14. R. Baumeister,J. Math. Phys. 19, 2377 (1978).

    Google Scholar 

  15. G. S. Asanov,Rep. Math. Phys. 14, 237 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Asanov, G.S. A Finslerian extension of general relativity. Found Phys 11, 137–154 (1981). https://doi.org/10.1007/BF00715202

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00715202

Keywords

Navigation