Integrability of Bianchi Universes in scalar tensor theory of gravitation

Abstract : 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 the presence of a barotropic matter fluid, are classified, and their integrability is discussed.
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Submitted on : Thursday, April 10, 2014 - 3:33:06 PM
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Jérôme Perez, Julien Larena. Integrability of Bianchi Universes in scalar tensor theory of gravitation. Classical and Quantum Gravity, IOP Publishing, 2007, 24 (11), pp.2901. ⟨10.1088/0264-9381/24/11/008⟩. ⟨hal-00976943⟩

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