Hořava-Lifshitz scalar field cosmology: classical and quantum viewpoints
arXiv:2102.00187 · doi:10.1155/2021/6617910
Abstract
In this paper, we study a projectable Hořava-Lifshitz cosmology without the detailed balance condition minimally coupled to a non-linear self-coupling scalar field. In the minisuperspace framework, the super Hamiltonian of the presented model is constructed by means of which, some classical solutions for scale factor and scalar field are obtained. Since these solutions exhibit various types of singularities, we came up with the quantization of the model in the context of the Wheeler-DeWitt approach of quantum cosmology. The resulting quantum wave functions are then used to investigate the possibility of the avoidance of classical singularities due to quantum effects which show themselves important near these singularities.
arXiv comment17 pages, 12 figures, typos corrected, Refs. added, Final version
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Cited by in corpus (4)
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- Resolution of cosmological singularity in Hořava-Lifshitz cosmology
- Lorentzian Vacuum Transitions in Hořava-Lifshitz Gravity
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