Skip to main content
Log in

The gravitational field of a static infinite sheet of matter

  • Letter to the Editor
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

The solution of the Einstein field equations in the case of an infinite, static, uniform distribution of matter lying parallel to thex−y plane is obtained. This metric is equivalent to the uniformly accelerated metric which causes the particles to move with uniform acceleration parallel to thez-axis.

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.

References

  • Bardeen, J. M., Press, W. H., and Teukolsky, S. A.: 1972,Astrophys. J. 178, 347.

    Google Scholar 

  • Chandrasekhar, S.: 1983,The Mathematical Theory of Black Holes, Oxford University Press, London.

    Google Scholar 

  • Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E.: 1980,Exact Solutions of Einstein's Field Equations, Cambridge University Press, London.

    Google Scholar 

  • McKenzie, J. F., Krige, J. D., and Maharaj, S. D.: 1988, in preparation.

  • Persides, S.: 1973,J. Math. Phys. 14, 1017.

    Google Scholar 

  • Press, W. H. and Teukolsky, S. A.: 1972,Nature 238, 211.

    Google Scholar 

  • Schwarzschild, K.: 1916,Sitz. Preuss. Akad. Wiss. 189.

  • Starobinskii, A. A.: 1973,Soviet Phys. JETP 37, 1.

    Google Scholar 

  • Starobinskii, A. A. and Churilov, S. M.: 1974,Soviet Phys. JETP 38, 1.

    Google Scholar 

  • Teukolsky, S. A.: 1972,Phys. Rev. Letters 29, 1114.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krige, J.D., Maharaj, S.D. & McKenzie, J.F. The gravitational field of a static infinite sheet of matter. Astrophys Space Sci 145, 177–180 (1988). https://doi.org/10.1007/BF00645701

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00645701

Keywords

Navigation