In the small-universe limit of Horava-Lifshitz gravity, the Wheeler-DeWitt equation separates and the anisotropy wave functions become normalizable harmonic-oscillator states, predicting small initial anisotropies set by the coupling g_B.
Quantum instability of an oscillating universe
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An oscillating, compact Friedmann universe with a massive conformally coupled scalar field is studied in the framework of quantum cosmology. The scalar field is treated as a perturbation and we look for solutions of the Wheeler-DeWitt equation describing stable stationary states of the model. We assume that the previous sources of quantum instability that have been discussed in the literature (particle production, and tunnelling to zero size) are absent. We then show, under rather general assumptions, that a further source of quantum instability prevents the existence of stationary states with localized wave function in the direction of the scalar-field modes.
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Anisotropic quantum universe in Ho\v{r}ava-Lifshitz gravity
In the small-universe limit of Horava-Lifshitz gravity, the Wheeler-DeWitt equation separates and the anisotropy wave functions become normalizable harmonic-oscillator states, predicting small initial anisotropies set by the coupling g_B.