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The Einstein-Hamilton-Jacobi equation: Searching the classical solution for barotropic FRW

S. R. Berbena·A. V. Berrocal·J. Socorro·Luis O. Pimentel
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Abstract

The dynamical evolution of the scale factor of FRW cosmological model is presented, when the equation of state of the material content assume the form $\rm p=γρ$, $\rm γ=constant$, including the cosmological term. We use the WKB approximation and the relation with the Einstein-Hamilton-Jacobi equation to obtain the exact solutions.

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S. R. Berbena, A. V. Berrocal, J. Socorro, Luis O. Pimentel. 2006-07-27. The Einstein-Hamilton-Jacobi equation: Searching the classical solution for barotropic FRW. https://arxiv.org/abs/gr-qc/0607123

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