Astrophysics and Space Science

, Volume 100, Issue 1–2, pp 475–479 | Cite as

Exact Brans-Dicke bianchi type-I vacuum solutions with a cosmological constant

  • D. Lorenz-Petzold
Letters to the Editor


Exact cosmological solutions of the vacuum Brans-Dicke field equations are derived. The solutions are the anisotropic generalizations of the isotropic de Sitter solutions of the general theory of relativity.


General Theory Field Equation Cosmological Constant Vacuum Solution Cosmological Solution 
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  1. Accioly, A. J., Vaidy, A. N., and Som, M. M.: 1983,Phys. Rev. D 27, 2282.Google Scholar
  2. Banerjee, A. and Santos, N. O.: 1982,Gen. Rel. Grav. 14, 559.Google Scholar
  3. Dyllong, U.: 1983,Astron. Nachr. (Germany) 304, 163.Google Scholar
  4. Johri, V. B. and Goswami, G. K.: 1980,J. Math. Phys. 21, 2269.Google Scholar
  5. Johri, V. B. and Goswami, G. K.: 1981,Australian J. Phys. 34, 261.Google Scholar
  6. Johri, V. B. and Goswami, G. K.: 1983,Australian J. Phys. 36, 235.Google Scholar
  7. Kasner, E.: 1921,Am. J. Math. 43, 217.Google Scholar
  8. Kramer, D., Stephanie, H., MacCallum, M. A. H., and Herlt, E.: 1980,Exact Solutions of Einstein's Field Equations, VEB, Deutscher Verlag der Wissenschaften, Berlin.Google Scholar
  9. Lorenz-petzold, D.: 1984a,Astrophys. Space Sci., in press.Google Scholar
  10. Lorenz-Petzold, D.: 1984b,Phys. Rev. D, in press.Google Scholar
  11. Lorenz-Petzold, D.: 1984c,Astrophys. Space. Sci., in press.Google Scholar
  12. Lorenz-Petzold, D.: 1984d,Astron. Astrophys., in press.Google Scholar
  13. Lorenz-petzold, D.: 1984e,Astrophys. Space Sci., in press.Google Scholar
  14. Lorenz-Petzold, D.: 1984f,Astrophys. Space Sci., in press.Google Scholar
  15. Lorenz-Petzold, D.: 1984g,Gen. Rel. Grav., in press.Google Scholar
  16. Lorenz-Petzold, D.: 1984h,Australian J. Phys., in press.Google Scholar
  17. Lorenz-Petzold, D.: 1984i,Astron. Nachr. (Germany), in press.Google Scholar
  18. Lorenz-Petzold, D.: 1984j, in W. Dietz and C. Hoenselaers (eds.),Proc. of the International Seminar on Exact Solutions of Einstein's Field Equations, Retzbach, 1983, Springer-Verlag, Berlin, Heidelberg, New York.Google Scholar
  19. matzner, R. A., Ryan, M. P., and Toton, E. T.: 1973,II Nuovo Cimento 14B, 161.Google Scholar
  20. Nariai, H.: 1972a,Prog. Theor. Phys. 47, 1824.Google Scholar
  21. Nariai, H.: 1972b,Prog. Theor. Phys. 48, 703.Google Scholar
  22. O'Hanlon, J. and Tupper, B. O. J.: 1972,Nuovo Cimento 7B, 305.Google Scholar
  23. Ram, S.: 1983a,Astrophys. Space. Sci. 94, 307.Google Scholar
  24. Ram, S.: 1983b,Gen. Rel. Grav. 15, 635.Google Scholar
  25. Ram, S. and Singh, D. K.: 1983,Astrophys. Space Sci. 95, 219.Google Scholar
  26. Raychaudhuri, A. K.: 1975,Prog. Theor. Phys. 53, 1360.Google Scholar
  27. Raychaudhuri, A. K.: 1979,Theoretical Cosmology, Clarendon Press, Oxford.Google Scholar
  28. Ruban, V. A.: 1977,Astrophys. Space Sci. 46, L23.Google Scholar
  29. Ruban, V. A. and Finkelstein, A. M.: 1972,Letters Nuovo Cimento 5, 289.Google Scholar
  30. Ruban, V. A. and Finkelstein, A. M.: 1975,Gen. Rel. Grav. 6, 601.Google Scholar
  31. Saunders, P. T.: 1967, Ph.D. Thesis, London.Google Scholar
  32. Singh, T. and Rai, L. N.: 1982,Acta Phys. Pol. B 13, 3.Google Scholar
  33. Singh, T., Rai, L. N., and Singh, T.: 1983,Astrophys. Space Sci. 96, 95.Google Scholar

Copyright information

© Redel Publishing Company 1984

Authors and Affiliations

  • D. Lorenz-Petzold
    • 1
  1. 1.Fakultät für PhysikUniversität KonstanzF.R.G.

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