Astrophysics and Space Science

, Volume 182, Issue 2, pp 221–225 | Cite as

Can Brans-Dicke universes in five dimensions be interpreted as 4-dimensional general relativity cosmologies?

  • J. Benítez
  • A. N. Morales
  • O. Obregón


The 5-dimensional Jordan-Brans-Dicke cosmologies in vacuum are found for the Bianchi type I metric, their relation with general relativity cosmologies is studied. Two solutions are possible, both produce effective pressure and energy density in the 4-dimensional G.R.-universes. One is a power-law relation, with two cases, the first one is forpeffeff and the other forpeff=αρeff(− 1 < α < 1) has a behaviour as the open flat universe. The second solution is an exponential only valid forpeff=−ρeff. In all cases the three-space expansion reaches infinity ast→∞ and the fifth dimension can be made to decrease approaching zero. The scalar field can increase or decrease with time.


Energy Density General Relativity Scalar Field Effective Pressure Bianchi Type 
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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • J. Benítez
    • 1
  • A. N. Morales
    • 1
  • O. Obregón
    • 1
  1. 1.Departamento de FísicaUniversidad Autónoma MetropolitanaIztapalapaMexico

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