International Journal of Theoretical Physics

, Volume 36, Issue 6, pp 1435–1439 | Cite as

Mach's principle and the deceleration parameter

  • Marcelo S. Berman


We relate the deceleration parameterq to the mass and “radius” of the observable universe, and set a theoretical estimate forq by means of Mach's principle as represented by Whitrow and Randall relationq∼1.


Gravitational Potential Berman Deceleration Parameter Globular Cluster Monthly Notice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Adler, R., Bazin, M., and Schiffer, M. (1975).Introduction to General Relativity, 2nd ed., McGraw-Hill, New York.Google Scholar
  2. Barbour, J. B. (1990). InModern Cosmology in Retrospect, B. Bertotti, R. Babinot, S. Bergia, and A. Messina, eds., Cambridge University Press, Cambridge, pp. 47–66.Google Scholar
  3. Berman, M. S. (1983).Nuovo Cimento,74B, 182–186.ADSGoogle Scholar
  4. Berman, M. S. (1994).Astrophysics and Space Science,222, 235–236.CrossRefADSGoogle Scholar
  5. Berman, M. S., and Gomide, F. M. (1988).General Relativity and Gravitation,20, 191–198.MathSciNetCrossRefGoogle Scholar
  6. Brans, C., and Dicke, R. (1961).Physical Review,124, 925.MATHMathSciNetCrossRefADSGoogle Scholar
  7. Dicke, R. (1964). InGravitation and Relativity, Benjamin, New York, p. 121.Google Scholar
  8. Glanz, J. (1995).Science,269, 756.ADSGoogle Scholar
  9. Joshi, P. S. (1993).Global Aspects in Gravitation and Cosmology, Clarendon Press, Oxford.Google Scholar
  10. Tod, K. P. (1994).General Relativity and Gravitation,26, 103–111.MathSciNetCrossRefGoogle Scholar
  11. Weinberg, S. (1972).Gravitation and Cosmology, Wiley, New York.Google Scholar
  12. Whitrow, G. (1946).Nature,158, 165.Google Scholar
  13. Whitrow, G., and Randall, D. (1951).Monthly Notices of the Royal Astronomical Society,111, 455.MATHMathSciNetADSGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • Marcelo S. Berman
    • 1
  1. 1.Group of Cosmology and Gravitation, Division of AstrophysicsINPE (National Institute of Space Research)São José dos CamposBrazil

Personalised recommendations