Integration ofD-dimensional cosmological models with two factor spaces by reduction to the generalized Emden-Fowler equation
نویسندگان
چکیده
منابع مشابه
Integration of D-dimensional 2-factor Spaces Cosmological Models by Reducing to the Generalized Emden-fowler Equation
The D-dimensional cosmological model on the manifold M = R × M1 × M2 describing the evolution of 2 Einsteinian factor spaces, M1 and M2, in the presence of multicomponent perfect fluid source is considered. The barotropic equation of state for mass-energy densities and the pressures of the components is assumed in each space. When the number of the non Ricci-flat factor spaces and the number of...
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We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations of the mentioned class is done. We have found such laws of the variation of f(x) that the equation admits one, two, or tree one-parameter Lie groups.
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ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 1998
ISSN: 0040-5779,1573-9333
DOI: 10.1007/bf02575448