期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
卷 20, 期 12, 页码 2419-2446出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218271811020445
关键词
Cosmology; dark energy; FRW model; integrable FRW models; nonintegrable FRW models; Painleve equations
One of the greatest challenges in today's cosmology to determine the nature of dark energy, the sourse of the observed present acceleration of the universe. Besides the vacuum energy, various dark energy models have been suggested. The Friedmann-Robertson-Walker (FRW) spacetime plays an important role in modern cosmology. In particular, the most popular models of dark energy work in the FRW spacetime. In this work, a new class of integrable FRW cosmological models is presented. These models induced by the well-known Painleve equations. Some nonintegrable FRW models are also considered. These last models are constructed with the help of Pinney, Schrodinger and hypergeometric equations. Scalar field description and two-dimensional generalizations of some cosmological models are presented. Finally some integrable and nonintegrable F(R) and F(G) gravity models are constructed.
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