Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Stationary solutions in three-dimensional general relativity

Abstract

All the stationary solutions of the three-dimensional vacuum Einstein equations are obtained. These include a class of multicenter solutions representing systems of massive and spinning point particles. The geodesic motion of a test particle in the one-particle metric is discussed. A class of geodesics contain finite intervals where the particle moves back in coordinate time, without violation of causality.

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

References

  1. Deser, S., Jackiw, R., and 't Hooft, G. (1984).Ann. Phys. (N.Y.),152, 220.

  2. Clément, G. (1976).Nucl. Phys.,B114, 437; Clément, G. (1983). U. of Constantine preprint IPUC 83-2.

  3. Clément, G. (1984).Gen. Rel. Grav.,16, 477.

  4. Landau, L., and Lifshitz, E. (1970).Théorie des champs (Mir, Moscow).

  5. Gödel, K. (1949).Rev. Mod. Phys.,21, 447.

  6. Novello, M., Damiac Soares, I., and Tiomno, J. (1982). Preprint CBPF-NF-026/82.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Clément, G. Stationary solutions in three-dimensional general relativity. Int J Theor Phys 24, 267–275 (1985). https://doi.org/10.1007/BF00669791

Download citation

Keywords

  • Field Theory
  • General Relativity
  • Elementary Particle
  • Quantum Field Theory
  • Stationary Solution