Classification of Inflationary Einstein--Scalar--Field--Models via Catastrophe Theory

Details Classification of Inflationary Einstein--Scalar--Field--Models via Catastrophe Theory Classification of Inflationary Einstein--Scalar--Field--Models via Catastrophe Theory

1994-12-16

arxiv.org/abs/gr-qc/9412046v1

Phys.Rev. D51 (1995) 924-927

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, REVTeX, no figures

Scientific paper

10.1103/PhysRevD.51.924

Various scenarios of the initial inflation of the universe are distinguished by the choice of a scalar field {\em potential} $U(\phi)$ which simulates a {\it temporarily} non--vanishing {\em cosmological term}. Our new method, which involves a reparametrization in terms of the Hubble expansion parameter $H$, provides a classification of allowed inflationary potentials and of the stability of the critical points. It is broad enough to embody all known {\it exact} solutions involving one scalar field as special cases. Inflation corresponds to the evolution of critical points of some catastrophe manifold. The coalescence of its nondegenerate critical points with the creation of a degenerate critical point corresponds the reheating phase of the universe. This is illustrated by several examples.

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