Flat FRW models with variableG and Λ

Details Flat FRW models with variableG and Λ Flat FRW models with variableG and Λ

Apr 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24..351k&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 4, pp.351-357

Mathematics

Logic

82

Scientific paper

We consider Einstein's equations with variable gravitational couplingG and cosmological term Λ. For a power-law time-dependence ofG, the cosmological term varies in proportion to the inverse square of the time, provided the equation of state is not that of vacuum. There is then no dimensional constant associated with Λ. For a vacuum equation of state the model is compatible with classical inflation for a wide class of functionsG(t) and Λ(t). For non-power-law behaviour ofG(t), it is possible to have a scale factor that increases exponentially without a vacuum equation of state. For this case the energy density associated with Λ decreases exponentially, while at time zero it is equal with opposite sign to the regular energy density, so there is zero total energy initially.

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