Advertisement

Astrophysics and Space Science

, Volume 211, Issue 1, pp 71–91 | Cite as

Post-newtonian approximation of a nonstationary spherically symmetric star in flat space-time theory of gravitation

  • Walter Petry
Article

Abstract

Starting from a previously studied theory of gravitation in flat space-time the post-Newtonian approximation of the gravitational field of an nonstationary spherically symmetric star is derived. To the post-Newtonian order the equations of motion and the conserved total energy of a collapsing star are given. Birkhoff's theorem holds to this accuracy.

Keywords

Total Energy Gravitational Field Symmetric Star 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chandrasekhar, S.: 1965,Astrophys. J. 142, 1488.Google Scholar
  2. Chandrasekhar, S.: 1969,Astrophys. J. 158, 45.Google Scholar
  3. Gourgoulhon, E.: 1991,Astron. Astrophys. 252, 651.Google Scholar
  4. May, M.M. and White, R.H.: 1966,Phys. Review 141, 1232.Google Scholar
  5. Misner, Ch.W. and Sharp, D.H.: 1964,Phys. Review B136, 571.Google Scholar
  6. Petry, W.: 1979,Gen. Rel. Grav. 10, 599.Google Scholar
  7. Petry, W.: 1981a,Gen. Rel. Grav. 13, 865.Google Scholar
  8. Petry, W.: 1981b,Gen. Rel. Grav. 13, 1057.Google Scholar
  9. Petry, W.: 1982,Gen. Rel. Grav. 14, 803.Google Scholar
  10. Petry, W.: 1988,Astrophys. Space Sci. 140, 407.Google Scholar
  11. Petry, W.: 1990a,Gen. Rel. Grav. 22, 1045.Google Scholar
  12. Petry, W.: 1990b,Proc. Physical Interpretations on Relativity Theory II, London, Sunderland Polytechnic, Sunderland, G.B., p. 215.Google Scholar
  13. Petry, W.: 1991,Astrophys. Space Sci. 175, 1.Google Scholar
  14. Petry, W.: 1992a,Astrophys. Space Sci. 189, 63.Google Scholar
  15. Petry, W.: 1992b,Proc. Physical Interpretations on Relativity Theory III, London, University of Sunderland, Sunderland, G.B. p. 226.Google Scholar
  16. Petry, W.: 1993a,Astrophys. Space Sci. 203, 147.Google Scholar
  17. Petry, W.: 1993b, in: W. Schröder (ed.),The Earth and the Universe (A Festschrift in honour of Hans-Jurgen Treder), Interdivisional Commission on History of IAGA, 321.Google Scholar
  18. Will, C.M.: 1981,Theory and Experiment in Gravitational Physics, Cambridge University Press.Google Scholar

Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • Walter Petry
    • 1
  1. 1.Mathematisches Institut der Universität DüsseldorfGermany

Personalised recommendations