Symmetry, Singularities and Integrability in Complex Dynamics IV: Painleve Integrability of Isotropic Cosmologies

Details Symmetry, Singularities and Integrability in Complex Dynamics IV: Painleve Integrability of Isotropic Cosmologies Symmetry, Singularities and Integrability in Complex Dynamics IV: Painleve Integrability of Isotropic Cosmologies

2000-11-06

arxiv.org/abs/gr-qc/0011019v1

Grav.Cosmol. 6 (2000) 282-290

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pp, latex, gc style, to appear in Grav.Cosm

Scientific paper

We apply the results of singularity analysis to the isotropic cosmological
models in general relativity and string theory with a variety of matter terms.
For some of these models the standard Painlev\'{e} test is sufficient to
demonstrate integrability or nonintegrability in the sense of Painlev\'{e}. For
others of these models it is necessary to use a less algorithmic procedure.

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