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Flat FRW models with variableG and Λ

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Abstract

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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Authors and Affiliations

  1. GP-B, Hansen Labs, Department of Physics, Stanford University, 94305, Stanford, California, USA

    D. Kalligas, P. Wesson & C. W. F. Everitt

  2. Department of Applied Physics, Stanford University, 94305, Stanford, California, USA

    D. Kalligas

  3. Department of Physics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    P. Wesson

Authors
  1. D. Kalligas
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  2. P. Wesson
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  3. C. W. F. Everitt
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Kalligas, D., Wesson, P. & Everitt, C.W.F. Flat FRW models with variableG and Λ. Gen Relat Gravit 24, 351–357 (1992). https://doi.org/10.1007/BF00760411

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  • DOI: https://doi.org/10.1007/BF00760411

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