Quantum signatures from Horava-Lifshitz cosmography

Abstract

In this paper we propose an alternative cosmography by considering Horava-Lifshitz gravity as a model of quantum gravity to search for quantum effects at the cosmological level. For our analyses we consider current late universe surveys and a Gravitational Waves forecast from Einstein Telescope. We found naturally a non-flat scenario with ${\Omega }_k=-0.021_{-0.029}^{+0.023}$ with $H_0=71.904_{-1.347}^{+1.406}$, without showing the standard reported $3.4$-$\sigma$ inconsistency. Furthermore, we obtained a specific value for the Ho\v rava parameter $\omega \approx -3.8\times 10^{-14}$, which can be interpreted as a measure of a quantum effect and could be used to further test this quantum gravity model. We conclude that classically, according to the $\Lambda$CDM model, our universe seems to be spatially flat, but in fact, it is curved from a quantum point of view.

15 pages, 2 figures, 3 cables. Version accepted in CQG

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