Cyclical Behaviour in Early Universe Cosmologies

Details Cyclical Behaviour in Early Universe Cosmologies Cyclical Behaviour in Early Universe Cosmologies

2000-05-26

arxiv.org/abs/gr-qc/0005118v1

J.Math.Phys. 41 (2000) 6277-6283

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 3 figures, accepted to J. Math. Phys. (uses Latex's graphicx utility)

Scientific paper

10.1063/1.1286878

We study early universe cosmologies derived from a scalar-tensor action containing cosmological constant terms and massless fields. The governing equations can be written as a dynamical system which contains no past or future asymptotic equilibrium states (i.e. no sources nor sinks). This leads to dynamics with very interesting mathematical behaviour such as the existence of heteroclinic cycles. The corresponding cosmologies have novel characteristics, including cyclical and bouncing behaviour possibly indicating chaos. We discuss the connection between these early universe cosmologies and those derived from the low-energy string effective action.

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