An application of the Abel equation of first type to the task of solving the Friedman equations
... 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.
1.
Abel
N.
H.
Oeuvres Complétes II. S. Lie and L. Sylow, Eds., Christiana, 1881.
2.
Appell P.
Sur les invariants de quelques équations différentielles. // Journal de Math
.
(4). 5. (1889) 361—423.
3.
R. Liouville
. Sur une ...
Finite action principle and non-singular cosmological models
... form an extremely narrow subclass and look quite unnatural. However, our goal is to show that such cosmologies are possible in principle without conflicting with current physical paradigms.
Yurova A. A., Yurov V. A., Yurov A. V.
cosmology, Friedmann equations, singularity, action, Desitter model
97-113