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

Exact Brans-Dicke-Bianchi types-II, VIII, and IX stiff matter solutions

  • 35 Accesses

  • 3 Citations

Abstract

Exact solutions of the Brans-Dicke field equations of Bianchi types-II, VIII, and IX are derived. The solutions represent locally rotationally symmetric universes with stiff matter content.

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

References

  1. Barrow, J. D.: 1978,Nature 272, 211.

  2. Carmeli, M., Charach, Ch., and Malin, S.: 1981,Phys. Reports 76, 80.

  3. Carmeli, M., Charach, Ch., and Feinstein, A.: 1983,Phys. Letters 96A, 1.

  4. Johri, V. B. and Goswami, G. K.: 1980,J. Math. Phys. 21, 2269.

  5. Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E.: 1980,Exact Solutions of Einstein's Field Equations, VEB Deutscher Verlag der Wissenschaften, Berlin, G.D.R.

  6. Lorenz, D.: 1980a,Phys. Rev. D22, 1848.

  7. Lorenz, D.: 1980b,Phys. Letters 79A, 19.

  8. Lorenz, D.: 1980c,Nuovo Cimento 29, 238.

  9. Lorenz-Petzold, D.: 1983a,Astrophys. Space Sci. 96, 451.

  10. Lorenz-Petzold, D.: 1983b,Astrophys. Space Sci. 98, 101.

  11. Lorenz-Petzold, D.: 1984a,Astrophys. Space Sci. 98, 249 (this issue).

  12. Lorenz-Petzold, D.: 1984b,Astrophys. Space Sci. 98, 197.

  13. Lorenz-Petzold, D.: 1984c,Astrophys. Space Sci. 98, 191.

  14. Lorenz-Petzold, D.: 1984d,Ann. Phys. N.Y., (to be published).

  15. Lorenz-Petzold, D.: 1984e,Prog. Theor. Phys., (to be published).

  16. Lorenz-Petzold, D.: 1984f,J. Phys. A Math. Gen. Phys., (to be published).

  17. Lorenz-Petzold, D.: 1984g,Math. Proc. Cambridge Phil. Soc., (to be published).

  18. Lorenz-Petzold, D.: 1984h,Math. Proc. Cambridge Phil. Soc., (to be published).

  19. Lorenz-Petzold, D.: 1984i,Acta Phys. Austriaca, (to be published).

  20. Lorenz-Petzold, D.: 1984j,Acta Phys. Polon., (to be published).

  21. Lorenz-Petzold, D.: 1984k,Astrophys. J., (to be published).

  22. Lorenz-Petzold, D.: 1984l,Astron. Astrophys., (to be published).

  23. Maartens, R. and Nel, S. D.: 1978,Comm. Math. Phys. 59, 273.

  24. Ruban, V. A.: 1976,Zh. Eksperim. Teor. Fiz. 72, 1201 [Soviet Phys. JETP 45, 629 (1977).

  25. Ruban, V. A.: 1978, Preprint No. 412, Leningrad Institute of Nuclear Physics B.P., Konstantinova.

  26. Ruban, V. A.: 1982,Astron. Zh. 59, 1044 [Soviet Astron. 26, 632 (1982)].

  27. Ryan, M. P., Jr. and Shepley, L. C.: 1975,Homogeneous Relativistic Cosmologies, Princeton Univ. Press, Princeton, New Jersey.

  28. Tabensky, R. and Taub, A. H.: 1973,Comm. Math. Phys. 29, 61.

  29. Taub, A. H.: 1951,Ann. Math. 53, 472.

  30. Wainwright, J., Ince, W. C. W., and Marshman, B. J.: 1979,Gen. Rel. Grav. 10, 259.

  31. Zel'dovich, Ya. B. and Novikov, I. D.: 1983,Relativistic Astrophysics, Vol. 2, Chicago Press, Chicago.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Lorenz-Petzold, D. Exact Brans-Dicke-Bianchi types-II, VIII, and IX stiff matter solutions. Astrophys Space Sci 98, 281–286 (1984). https://doi.org/10.1007/BF00651408

Download citation

Keywords

  • Exact Solution
  • Matter Content
  • Field Equation
  • Stiff Matter
  • Matter Solution