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Journal Articles Classical and Quantum Gravity Year : 2007

Integrability of Bianchi Universes in scalar tensor theory of gravitation

Jérôme Perez
Julien Larena

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.

Dates and versions

hal-00976943 , version 1 (10-04-2014)

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Jérôme Perez, Julien Larena. Integrability of Bianchi Universes in scalar tensor theory of gravitation. Classical and Quantum Gravity, 2007, 24 (11), pp.2901. ⟨10.1088/0264-9381/24/11/008⟩. ⟨hal-00976943⟩

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