Astrophysics and Space Science

, Volume 232, Issue 1, pp 143–148 | Cite as

Does the gravitational “constant” increase?

  • Corrado Massa


The possibility that the gravitational coupling “constant”G is an increasing function of the cosmic timet is discussed.

In Section 1 the Maximal Power Hypothesis (MPH) stating that no power in Nature can exceed the upper boundc5/G (Gunn's luminosity) is advocated.

In Sections 2, 3, and 4 the MPH is employed on the cosmological scale to support the idea of an increasingG. In Section 2 the increasingG is obtained by two assumptions - the MPH and the energy conservation law - and by nothing else.

In Section 3 the increasingG follows naturally from the MPH in the Einstein-Cartan theory of gravity. The arguments proposed in Sections 2 and 3 lead todG(t)/dt > 0 but cannot specify the form ofG(t). In Section 4 the MPH is applied to the energy of the vacuum and leads to a relation betweenG and the cosmological term,G α ΛS3, valid in a matter-dominated universe (S =S(t) is the expansion factor). This relation plus the time-dependence law (suggested by many authors) Λt2 = constant, plustH > 2/3 (suggested by observations on the age of globular clusters;H is the Hubble parameter) implies an increasingG. One finds also Λ αGU, whereU is the mass density of the universe, in agreement with other studies.


Energy Conservation Mass Density Hubble Parameter Globular Cluster Expansion Factor 
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.


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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Corrado Massa
    • 1
  1. 1.Reggio EmiliaItaly

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