Skip to main content
Log in

Separability structures and Killing-Yano tensors in vacuum type-D space-times without acceleration

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

Abstract

Relationships among the existence of Killing tensors, Killing-Yano tensors, and separability structures with two Killing vectors in vacuum type-D space times are investigated. It is proved that the existence of those objects is equivalent with the assumption that space-time is without acceleration.

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

  • Benenti, S. (1975/1976),Rendiconti del Seminario Matematico dell Universita Pol. Torino,34,431.

  • Benenti, S. (1980).Separability structures in pseudo-Riemannian manifolds (to appear).

  • Benenti, S., and Francaviglia, M. (1979).General Relativity and Gravitation,10, 79.

    Google Scholar 

  • Benenti, S., and Francaviglia, M. (1980). “The theory of separability of the Hamilton-Jacobi equation and its applications to General Relativity”, inEinstein Centennial Volume, A. Held ed. Plenum Press, New York.

    Google Scholar 

  • Carter, B. (1969).Communications in Mathematical Physics,10, 280.

    Google Scholar 

  • Collinson, C. D. (1976).International Journal of Theoretical Physics,15, 311.

    Google Scholar 

  • Collinson, C. D., and Smith, P. N. (1977).Communications in Mathematical Physics,56, 277.

    Google Scholar 

  • Demianski, M., and Francaviglia, M. (1980). “Type D space-times with a Killing tensor” (submitted toJournal of Physics A).

  • Demianski, M., and Plebanski, J. (1976).Annals of Physics,98, 98.

    Google Scholar 

  • Francaviglia, M., and Virga, L. (1980). “On separable space-times with two Killing vectors” (preprint).

  • Hugston, L. P., and Sommers, P. (1973).Communications in Mathematical Physics,32, 147.

    Google Scholar 

  • Stephani, H. (1978).General Relativity and Gravitation,9, 789.

    Google Scholar 

  • Walker, M., and Penrose, R. (1970).Communications in Mathematical Physics,18, 265.

    Google Scholar 

  • Woodhouse, N. M. J. (1975).Communications in Mathematical Physics,44, 9.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work partially supported by GNFM of Italian National Research Council and a Polish Interdisciplinary Research Project MR-I-7.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Demianski, M., Francaviglia, M. Separability structures and Killing-Yano tensors in vacuum type-D space-times without acceleration. Int J Theor Phys 19, 675–680 (1980). https://doi.org/10.1007/BF00670402

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00670402

Keywords

Navigation