Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-04-18
Phys.Rev. D52 (1995) 3424-3431
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages Latex + 2 figures available by fax upon request
Scientific paper
10.1103/PhysRevD.52.3424
It is shown that the tunneling effect in quantum cosmology is possible not only at the very beginning or the very end of the evolution, but also at the moment of maximum expansion of the universe. A positive curvature expanding Friedmann universe changes its state of evolution spontaneously and completely, {\it without} any changes in the matter content, avoiding recollapse, and falling into oscillations between the nonzero values of the scale factor. On the other hand, an oscillating nonsingular universe can tunnel spontaneously to a recollapsing regime. The probability of such kind of tunneling is given explicitly. It is inversely related to the amount of nonrelativistic matter (dust), and grows from a certain fixed value to unity if the negative cosmological constant approaches zero.
Dabrowski Mariusz P.
Larsen Arne. L.
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