Skip to main content
Log in

Equilibrium ensembles in general relativity

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Consider a collection of particles that interact only via elastic point ‘collisions’ in a fixed background spacetime in the presence of some specified external fields. If there exists a time-like vector field that Lie derives the metric and the external fields, then it is possible to formulate sensible covariant analogues of the standard equilibrium ensembles from Newtonian statistical mechanics.

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

  • Hakim, R.: 1967,J. Math. Phys. 8, 1379.

    Google Scholar 

  • Hawking, S. W. and Ellis, G. R. E.: 1973,The Large Scale Structure of the Universe, Cambridge University Press, Cambridge, p. 156.

    Google Scholar 

  • Israel, W.: 1972, in L. O'Raifertaigh (ed.),General Relativity: Papers in Honour of J. L. Synge, Clarendon Press, Oxford, p. 201.

    Google Scholar 

  • Israel, W. and Kandrup, H. E.: 1984,Ann. Phys. 152, 30.

    Google Scholar 

  • Kandrup, H. E.: 1984,Ann. Phys. 153, 44.

    Google Scholar 

  • Landau, L. D. and Lifshitz, E. M.: 1975,The Classical Theory of Fields, Pergamon Press, Oxford, p. 232.

    Google Scholar 

  • Misner, C. W., Thorne, K. S., and Wheeler, J. A.: 1973,Gravitation, W. H. Freeman and Co., San Francisco, p. 897.

    Google Scholar 

  • Stewart, J. M.: 1977,Proc. Roy. Soc. A357, 59.

    Google Scholar 

  • Tolman, R. C.: 1938,The Principles of Statistical Mechanics, Oxford University Press, Oxford.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kandrup, H.E. Equilibrium ensembles in general relativity. Astrophys Space Sci 103, 293–300 (1984). https://doi.org/10.1007/BF00653744

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00653744

Keywords

Navigation