Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

A static body of arbitrarily large density

Abstract

We consider the static, spherically symmetric, perfect fluid solution for a given massm in general relativity, and show that its average density is bounded. We then show by an example that this need not be so for non-spherical bodies.

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

References

  1. Bondi, H. (1964).Proceedings of the Royal Society A,282, 303.

  2. Bonnor, W. and Sackfield, A. (1968).Communications in Mathematical Physics,8, 338.

  3. Majumdar, S. D. (1947).Physical Review,72, 390.

  4. Papapetrou, A. (1947).Proceedings of the Royal Irish Academy,51, 191.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Bonnor, W.B., Wickramasuriya, S.B.P. A static body of arbitrarily large density. Int J Theor Phys 5, 371–375 (1972). https://doi.org/10.1007/BF00713098

Download citation

Keywords

  • Field Theory
  • General Relativity
  • Elementary Particle
  • Quantum Field Theory
  • Static Body