SPACE, TIME AND FUNDAMENTAL INTERACTIONS

APPLICATION OF THE ABEL EQUATION TO COSMOLOGICAL MODELS WITH AND WITHOUT PHANTOMS

Yurov V.A.

The article is dedicated to a novel approach to the phantom cosmologies with scalar fields: a reduction of the Friedman-Robertson-Walker-Lem?iatre system of equations to a single first-order O.D.E. called the Abel equation of the 1-st kind. In particular, we demonstrate how the phantomization of a classical cosmological model changes the structure of the Abel equation. In addition, we apply the proposed method to a construction of a number of exact phantom solutions.