Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-07-27
Phys.Rev. D50 (1994) 4794-4806
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
32 pages, REVTeX, 9 postscript figures (or hardcopy) available upon request, Cologne-thp-1994-H8
Scientific paper
10.1103/PhysRevD.50.4794
The mechanism of the initial inflation of the universe is based on gravitationally coupled scalar fields $\phi$. Various scenarios are distinguished by the choice of an {\it effective self--interaction potential} $U(\phi)$ which simulates a {\it temporarily} non--vanishing {\em cosmological term}. Using the Hubble expansion parameter $H$ as a new ``time" coordinate, we can formally derive the {\it general} Robertson--Walker metric for a {\em spatially flat} cosmos. Our new method provides a classification of allowed inflationary potentials and is broad enough to embody all known {\it exact} solutions involving one scalar field as special cases. Moreover, we present new inflationary and deflationary exact solutions and can easily predict the influence of the form of $U(\phi)$ on density perturbations.
~Mielke Eckehard W.
~Schunck Franz E.
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