Physics
Scientific paper
Jul 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48..557a&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 2, 15 July 1993, pp.557-561
Physics
5
Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
In this paper we perform a qualitative analysis of the dynamical system resulting from the soft inflation scenario. This allows us to examine the various types of asymptotic behavior displayed by the system; we pay particular attention to the inflationary solutions given by Berkin, Maeda, and Yokoyama [Phys. Rev. Lett. 65, 141 (1990)]. We find that as φ-->∞, no unique attracting critical point exists, but rather there exists a higher-dimensional set of critical points. It is shown that the solution given by Berkin, Maeda, and Yokoyama is representative of a class of solutions which asymptotically undergoes power-law inflation. Under the assumption that new inflation occurs, we show that, asymptotically, there exists a global attractor. Under the assumption that chaotic inflation occurs, we show that there exists an attractor for finite values of the field φ and that solutions which inflate will experience infinitely many inflationary eras.
Abolghasem G.
Burd Adrian
Coley Alan A.
van den Hoogen R.
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