An application of the Abel equation of first type to the task of solving the Friedman equations :: IKBFU's united scientific journal editorial office


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Alexander Herzen

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

Author Yurov V. A.
Pages 43-46
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Keywords Abel equation, Einstein-Friedmann equations, scalar field.
Abstract (summary) 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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