Analytic integrability of the Bianchi class A cosmological models with 0⩽k<1
نویسندگان
چکیده
منابع مشابه
Analytic integrability of the Bianchi Class B cosmological models
Antoni Ferragut, a) Jaume Llibre, b) and Chara Pantazi c) Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, ETSEIB, Av. Diagonal, 647, 08028, Barcelona, Catalonia, Spain Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia, Spain Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, (EPS...
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We follow Bogoyavlensky's approach to deal with Bianchi class B cosmological models. We characterize the analytic integrability of such systems.
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In this work, we are investigating the problem of integrability of Bianchi class A cosmological models. This class of systems is reduced to the form of Hamiltonian systems with exponential potential forms. The dynamics of Bianchi class A models is investigated through the EulerLagrange equations and geodesic equations in the Jacobi metric. On this basis, we have come to some general conclusions...
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We find solutions for quantum Class A Bianchi models of the form Ψ = W e ±Φ generalizing the results obtained by Moncrief and Ryan in standard quantum cosmology. For the II and IX Bianchi models there are other solu-tions˜Φ 2 , ˜ Φ 9 to the Hamilton-Jacobi equation for which Ψ is necessarely zero, in contrast with solutions found in supersymmetric quantum cosmology.
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ژورنال
عنوان ژورنال: Chaos, Solitons & Fractals
سال: 2013
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2012.12.007