Skip to main content
SpringerLink
Log in

Einsteinsche Gravitations-Vakuumfelder, die eine expandierende, drehungs- und scherungsfreie Bewegung von Probeteilchen zulassen

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

The empty space field equations in Einstein's Theory of Gravitation are solved to determine all spaces admitting a timelike congruence without shear and rotation. The solutions belong to the class of degenerate static fields and their non-static extensions.

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

Literatur

  1. Estabrook, F. B., andH. D. Wahlquist (J. P. L.): Riged motion in Einsteinspaces. Preprint 1965.

  2. Synge, J. L.: Relativity: The General Theorie. Amsterdam: North Holland Publishing Company 1960.

    Google Scholar 

  3. Jordan, P., J. Ehlers u.R. K. Sachs: Akad. Wiss., Mainz Abh. math.-nat. Kl. 1961 Nr. 1.

  4. Trümper, M.: Z. Physik168, 55–60 (1962).

    Google Scholar 

  5. -- Diss., Hamburg 1961.

  6. —— J. Math. Phys. Vol.6, 584 (1965).

    Google Scholar 

  7. Witten, L. W. (Editor): Gravitation: An introduction to current res., p. 73. New York: Wiley 1962.

    Google Scholar 

  8. Raychaudhuri: Phys. Rev.98, 1123 (1955).

    Google Scholar 

  9. Estabrook, F. B., andH. P. Wahlquist: J. Math. Phys., Vol.5, 1629 (1964).

    Google Scholar 

  10. Ehlers, J.: Akad. Wiss. Lit. Mainz. Abh. math.-nat. Kl. Nr.11, 798 (1961).

    Google Scholar 

  11. Witten, L. W. (Editor): Gravitation: An introduction to current res., p. 72. New York: Wiley 1962.

    Google Scholar 

  12. —— Gravitation: An introduction to current res., p. 75. New York: Wiley 1962.

    Google Scholar 

  13. —— Gravitation: An introduction to current res., p. 71. New York: Wiley 1962.

    Google Scholar 

  14. Schouten, J. A.: Ricci-Calculus. Berlin-Göttingen-Heidelberg: Springer 1954.

    Google Scholar 

  15. Witten, L. W. (Editor): Gravitation: An introduction to current res., p. 65. New York: Wiley 1962.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Hamburg

    Henning Müller zum Hagen

Authors
  1. Henning Müller zum Hagen
    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

Müller zum Hagen, H. Einsteinsche Gravitations-Vakuumfelder, die eine expandierende, drehungs- und scherungsfreie Bewegung von Probeteilchen zulassen. Commun.Math. Phys. 3, 292–312 (1966). https://doi.org/10.1007/BF01649526

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01649526

Search

Navigation