2003/05/16 by John Miritzis
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1063/1.1602161
published as J.Math.Phys. 44 (2003) 3900-3910 · 3 figures, to appear in JMP
arxiv created 2003/05/16 · openalex publication_date 2003/08/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the late time evolution of positively curved FRW models with a scalar field which arises in the conformal frame of the R+αR2 theory. The resulted three-dimensional dynamical system has two equilibrium solutions corresponding to a de Sitter space and an ever expanding closed universe. We analyze the structure of the first equilibrium with the methods of the center manifold theory and, for the second equilibrium, we apply the normal form theory to obtain a simplified system, which we analyze with special phase plane methods. It is shown that an initially expanding closed FRW space–time avoids recollapse.