Integrability of anisotropic and homogeneous Universes in scalar-tensor theory of gravitation

Details Integrability of anisotropic and homogeneous Universes in scalar-tensor theory of gravitation Integrability of anisotropic and homogeneous Universes in scalar-tensor theory of gravitation

2007-06-14

arxiv.org/abs/0706.2098v1

Class.Quant.Grav.24:2901-2915,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figure, accepted in CQG

Scientific paper

10.1088/0264-9381/24/11/008

In this paper, we develop a method based on the analysis of the Kovalewski exponents to study the integrability of anisotropic and homogeneous Universes. The formalism is developed in scalar-tensor gravity, the general relativistic case appearing as a special case of this larger framework. Then, depending on the rationality of the Kovalewski exponents, the different models, both in the vacuum and in presence of a barotropic matter fluid, are classified, and their integrability is discussed.

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