Kinematic and statistical inconsistencies of Ho$check{textrm{r}}$ava-Lifshitz cosmology. (arXiv:1811.05227v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Luongo_O/0/1/0/all/0/1">Orlando Luongo</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Muccino_M/0/1/0/all/0/1">Marco Muccino</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Quevedo_H/0/1/0/all/0/1">Hernando Quevedo</a>
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.
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.
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