http://arxiv.org/abs/1811.05227
We investigate the validity of a \emph{minimal} cosmological model derived from the renormalizable Ho$\check{\textrm{r}}$ava action at low redshift scales by using different cosmological and statistical tests. Assuming pure attractive gravity, i.e., $\lambda>1/3$ in the Ho$\check{\textrm{r}}$ava action, we compare the Union 2.1 supernova type Ia data with the kinematics following from a model-independent approach. The two approaches, although compatible, lead to explicit cosmographic constraints on the free parameters of the Ho$\check{\textrm{r}}$ava action, which turn out to be in strong disagreement with the $\Lambda$CDM, $w$CDM and Chevallier-Polarski-Linder scenarios. To show this, we use standard diagnostic tools of regression models, namely the Akaike and the Bayesian Information Criteria. Using such model-independent statistical methods, we show that Ho$\check{\textrm{r}}$ava-Lifshitz cosmology differs from the standard dark energy scenarios, \emph{independently} of the number of free parameters involved in the model. Since this result is valid at small redshift domains, it indicates the presence of inconsistencies in the minimal version of Ho$\check{\textrm{r}}$ava-Lifshitz cosmology even at the level of background cosmology.
O. Luongo, M. Muccino and H. Quevedo
Wed, 14 Nov 18
43/75
Comments: 9 pages, 4 figures
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