1. The simplest possible bouncing quantum cosmological model.
- Author
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Peter, Patrick and Vitenti, Sandro D. P.
- Subjects
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QUANTUM cosmology , *GENERAL relativity (Physics) , *MATHEMATICAL physics , *WAVE functions , *SYMMETRY (Physics) , *MATHEMATICAL models - Abstract
We present and expand the simplest possible quantum cosmological bouncing model already discussed in previous works: the trajectory formulation of quantum mechanics applied to cosmology (through the Wheeler-De Witt equation) in the Friedmann-Lemaître-Robertson-Walker (FLRW) minisuperspace without spatial curvature. The initial conditions that were previously assumed were such that the wave function would not change its functional form but instead provide a dynamics to its parameters. Here, we consider a more general situation, in practice consisting of modified Gaussian wave functions, aiming at obtaining a nonsingular bounce from a contracting phase. Whereas previous works consistently obtain very symmetric bounces, we find that it is possible to produce highly non-symmetric solutions, and even cases for which multiple bounces naturally occur. We also introduce a means of treating the shear in this category of models by quantizing in the Bianchi I minisuperspace. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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