Mathematics – Logic
Scientific paper
May 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ircm.book.....m&link_type=abstract
Unknown
Mathematics
Logic
7
Conformal Mapping, Cosmology, Models, Coupling, Einstein Equations, Gravitation, Hilbert Space, Inflating, Scalars
Scientific paper
The possibility of having inflation in a renormalizable cosmological model is investigated. The Cosmic No Hair Conjecture is proved to hold for all Bianchi types except Bianchi IX. By the use of a conformal transformation on the metric it is shown that these models are equivalent to the ones described by the Einstein-Hilbert action for gravity minimally coupled to a set of scalar fields with inflationary potentials. Henceforth, it is proven that inflationary solutions behave as attractors in solution space, making it a natural event in the evolution of such models.
Futamase Toshifumi
Maeda Kei--ichi
Stein-Schabes Jaime A.
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