Singularity Avoidance in Nonlinear Quantum Cosmology

Details Singularity Avoidance in Nonlinear Quantum Cosmology Singularity Avoidance in Nonlinear Quantum Cosmology

2009-02-17

arxiv.org/abs/0902.2844v1

AIP Conf.Proc.1115:180-185,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages. Presented at the DSU conference in Cairo, Egypt 2008. Typos in eq. 22 and 29 of the proceedings version corrected her

Scientific paper

10.1063/1.3131494

We extend our previous study on the effects of an information-theoretically motivated nonlinear correction to the Wheeler-deWitt equation in the minisuperspace scheme for FRW universes. Firstly we show that even when the geometry is hyperbolic, and matter given by a cosmological constant, the nonlinearity can still provide a barrier to screen the initial singularity, just as in the case for flat universes. Secondly, in the flat case we show that singularity avoidance in the presence of a free massless scalar field is perturbatively possible for a very large class of initially unperturbed quantum states, generalising our previous discussion using Gaussian states.

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