%0 Journal Article
%T Integrability of anisotropic and homogeneous Universes in scalar-tensor theory of gravitation
%A Julien Larena
%A Jerome Perez
%J Mathematics
%D 2007
%I arXiv
%R 10.1088/0264-9381/24/11/008
%X 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.
%U http://arxiv.org/abs/0706.2098v1