The Einstein-Hamilton-Jacobi equation: Searching the classical solution for barotropic FRW
classification
🌀 gr-qc
keywords
equationcosmologicaleinstein-hamilton-jacobigammaapproximationassumebarotropicclassical
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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 $\rm p=\gamma \rho$, $\rm \gamma=constant$, 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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