The Stability of the Minisuperspace
Atushi Ishikawa, Toshiki Isse
Abstract
The stability of the minisuperspace model of the early universe is studied by solving the Wheeler-DeWitt equation numerically. We consider a system of Einstein gravity with a scalar field. When we solve the Wheeler-DeWitt equation, we pick up some inhomogeneous wave modes from the infinite number of modes adequately: degrees of freedom of the superspace are restricted to a finite one. We show that the minisuperspace is stable when a scale factor (a) of the universe is larger than a few times of the Planck length, while it becomes unstable when a is comparable to the Planck length.
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