Oscillatory behavior of closed isotropic models in second order gravity theory

Details Oscillatory behavior of closed isotropic models in second order gravity theory Oscillatory behavior of closed isotropic models in second order gravity theory

2007-08-10

arxiv.org/abs/0708.1396v2

Gen.Rel.Grav.41:49-65,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 3 figures. With some minor improvements. To appear in General Relativity and Gravitation

Scientific paper

10.1007/s10714-008-0651-3

Homogeneous and isotropic models are studied in the Jordan frame of the second order gravity theory. The late time evolution of the models is analysed with the methods of the dynamical systems. The normal form of the dynamical system has periodic solutions for a large set of initial conditions. This implies that an initially expanding closed isotropic universe may exhibit oscillatory behaviour.

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