IKBFU's Vestnik

2010 Issue №4

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An application of the Abel equation of first type to the task of solving the Friedman equations



An interesting connection between Einstein-Friedmann equations for the models of universe filled with scalar field and the special form of Abel equation of the first kind is presented. In particular, it is shown how, knowing the general solution of the Abel equation (corresponding to the given scalar field potential) one can obtain the general solution of the Friedmann Equation.


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