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


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.


Exact Solution Dynamical Behaviour Field Equation Cosmological Model Einstein Field Equation 
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  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

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