RW models with variable G and constant active gravitational mass.

Mathematics – Logic

Scientific paper

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Cosmological Models: Gravitational Constant

Scientific paper

The authors find that the incorporation of the conservation of active gravitational mass in Einstein's theory demands the variation of G or Λ for baryonic matter. If G is allowed to vary, keeping Λ constant, this demands Λ ≤ 0. For Λ < 0, the model uniquely determines the curvature parameter κ = -1 with a sinusoidal expansion. An interesting case arises when Λ = 0. In this case, G is a decreasing function of time in the early universe and becomes constant as the universe turns matter dominated reducing the models to the standard FRW models in the present phase of evolution.

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