The Stability of the Minisuperspace

Details The Stability of the Minisuperspace The Stability of the Minisuperspace

1993-08-05

arxiv.org/abs/gr-qc/9308004v1

Mod. Phys. Lett. A8 (1993) 3413-3428

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages

Scientific paper

10.1142/S0217732393003834

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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