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

Cosmological solution in Brans-Dicke theory involving particle creation

  • 30 Accesses

  • 6 Citations


By considering the Robertson-Walker line element exact cosmological solutions have been obtained by taking spin-half-generated particles as matter sources in the Jordan-Brans-Dicke theory. There exist exact solutions for which the ‘gravitational constant’ decreases linearly with time and the mass of the Universe increases proportionally to the square of its age while the density decreases with time. The results have been studied corresponding to the three values of curvature index. It has been shown that the expansion law is determined by the particles created by the expansion itself.

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


  1. Brans, C. and Dicke, R. H.: 1961a,Phys. Rev. 124, 925.

  2. Brans, C. and Dicke, R. H.: 1961b,Phys. Rev. 125, 2194.

  3. Dewitt, B.: 1963,Phys. Rev. Letters 90, 357.

  4. Dicke, R. H.: 1962,Phys. Rev. 125, 2163.

  5. Dirac, P. A. M.: 1937,Nature 139, 323.

  6. Dirac, P. A. M.: 1938,Proc. Roy. Soc. London A.

  7. Jordan, P.: 1938,Astron. Nachr. 276, 193.

  8. Obregon, O. J. and Pimentel, L. O.: 1978,Gen. Relativ Gravitation 9 (7), 585.

  9. Schrödinger, E.: 1939,Physics 6, 899.

  10. Schäfer, and Dehnen, H.: 1976,Astron. Astrophys. 54, 823.

  11. Singh, R. T. and Shridhar Deo: 1987, ‘Particle Creation in Robertson-Walker Universe in Brans-Dicke Theory’, Thesis.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Singh, R.K.T., Devi, A.R. Cosmological solution in Brans-Dicke theory involving particle creation. Astrophys Space Sci 155, 233–240 (1989). https://doi.org/10.1007/BF00643860

Download citation


  • Exact Solution
  • Line Element
  • Matter Source
  • Cosmological Solution
  • Particle Creation