Can a closed universe in R + αR2 theory avoid recollapse?

Mathematics

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Mathematical And Relativistic Aspects Of Cosmology, Particle-Theory And Field-Theory Models Of The Early Universe, Field Theory

Scientific paper

We study the closed universe recollapse conjecture for positively curved Friedmann-Robertson-Walker (FRW) models with a perfect fluid matter source and a scalar field which arises in the conformal frame of the second order gravity theory. We analyze the structure of the resulted four-dimensional dynamical system with the methods of the center manifold theory and the normal form theory.

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