Oscillating universes as eigensolutions of cosmological Schrödinger equation

Details Oscillating universes as eigensolutions of cosmological Schrödinger equation Oscillating universes as eigensolutions of cosmological Schrödinger equation

1998-08-04

arxiv.org/abs/gr-qc/9808010v1

Int.J.Mod.Phys.D9:143-154,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, Latex, submitted to Int. Jou. of Theor. Phys

Scientific paper

10.1142/S021827180000013X

We propose a cosmological model which could explain, in a very natural way, the apparently periodic structures of the universe, as revealed in a series of recent observations. Our point of view is to reduce the cosmological Friedman--Einstein dynamical system to a sort of Schr\"odinger equation whose bound eigensolutions are oscillating functions. Taking into account the cosmological expansion, the large scale periodic structure could be easily recovered considering the amplitudes and the correlation lengths of the galaxy clusters.

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