Mathematics – Logic
Scientific paper
Aug 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23..917d&link_type=abstract
General Relativity and Gravitation, Volume 23, Issue 8, pp.917-939
Mathematics
Logic
5
Scientific paper
We study the dynamics of the generalizedD-dimensional (D = 1+3+d) Friedman-Robertson-Walker (FRW) cosmological models in the framework of an extended gravity theory obtained by adding the Gauss-Bonnet term to the standard Einstein-Hilbert action. In our discussion we extensively use methods of dynamical systems. We consider models filled in with a perfect fluid obeying the equation of statep=(γ-1)ρ and vacuum but non-flat models. We present a detailed analysis of the ten dimensional model and in particular we study the vacuum case. Several phase portraits show how the evolution of this model depends on the parameterγ.
Demiański Marek
Golda Zdzislaw
Puszkarz Waldemar
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