Astrophysics and Space Science

, Volume 234, Issue 2, pp 325–334 | Cite as

Cosmological models in certain scalar-tensor theories

  • Shri Ram
  • J. K. Singh
Article

Abstract

Exact solutions of Einstein field equations are obtained in the scalar-tensor theories developed by Saez and Ballester (1985) and Lau and Prokhovnik (1986) when the line-element has the form
$$ds^2 = \exp \left( {2h} \right)dt^2 - \exp \left( {2A} \right)\left( {dx^2 + dy^2 } \right) - \exp \left( {2B} \right)dz^2 $$
whereh, A andB are functions oft only. The solutions are spatially homogeneous, locally rotationally symmetric and admit a Bianchi I group of motions on hypersurfacest = constant. The dynamical behaviours of these models have also been discussed.

Keywords

Exact Solution Dynamical Behaviour Field Equation Cosmological Model Einstein Field Equation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barrow, J.D.: 1992,Phys. Rev. D 46, 3227.Google Scholar
  2. Bergmann, P.G.: 1968,Int. J. Theor. Phys. 1, 25.Google Scholar
  3. Brans, C. and Dicke, R.H.: 1961,Phys. Rev. 124, 925.Google Scholar
  4. Cahen, M. and Defrise, L.: 1968,Comm. Math. Phys. 11, 56.Google Scholar
  5. Carminati, J. and McIntosh, C.B.G.: 1980,J. Phys. A.: Math. Gen. 13, 963.Google Scholar
  6. Lau, Y.K.: 1985,Australian J. Phys. 38, 547.Google Scholar
  7. Lau, Y.K. and Prokhovnik, S.J.: 1986,Australian J. Phys. 39, 339.Google Scholar
  8. Maharaj, S.D. and Beesham, A.: 1988,J. Astrophys. Astron. India 9, 67.Google Scholar
  9. Nordvedt, K.: 1970,Astrophys. J. 161, 1059.Google Scholar
  10. Saez, D.: 1985, A simple coupling with cosmological implications, preprint.Google Scholar
  11. Saez, D. and Ballester, V.J.: 1985,Phys. Lett. A 113, 467.Google Scholar
  12. Singh, T. and Agrawal, A.K.: 1991a,Astrophys. Space Sci. 182, 289.Google Scholar
  13. Singh, T. and Agrawal, A.K.: 1991b,Astrophys. Space Sci. 179, 223.Google Scholar
  14. Wagoner, R.V.: 1970,Phys. Rev. D 1, 3209.Google Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Shri Ram
    • 1
  • J. K. Singh
    • 1
  1. 1.Department of Applied Mathematics, Institute of Technology, BanarasHindu UniversityVaranasiIndia

Personalised recommendations