1995/04/18 by Mariusz P. Da̧browski, M. P. Dabrowski, A. L. Larsen · 1 citation
Physics and Astronomy · #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dark energy #Friedmann equations #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum cosmology #Quantum gravity #Quantum mechanics #Quantum tunnelling #Theoretical physics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.52.3424
published as Phys.Rev. D52 (1995) 3424-3431 · 18 pages Latex + 2 figures available by fax upon request
arxiv created 1995/04/18 · openalex publication_date 1995/09/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is shown that the tunneling effect in quantum cosmology is possible not only at the very beginning or the very end of 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, 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 kinds of tunneling is given explicitly. It is inversely related to the amount of relativistic matter (dust), and grows from a certain fixed value to unity if the negative cosmological constant approaches zero.