Parametrizations of Dark Energy Models in the Background of General Non-canonical Scalar Field in $D$-dimensional Fractal Universe. (arXiv:1902.01397v1 [gr-qc])

Parametrizations of Dark Energy Models in the Background of General Non-canonical Scalar Field in $D$-dimensional Fractal Universe. (arXiv:1902.01397v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Debnath_U/0/1/0/all/0/1">Ujjal Debnath</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Bamba_K/0/1/0/all/0/1">Kazuharu Bamba</a>

We explore non-canonical scalar field model in the background of non-flat
$D$-dimensional fractal Universe with cosmological constant $Lambda$ on the
condition that the matter and scalar field are separately conserved. The
potential $V$, scalar field $phi$, function $f$, densities, Hubble parameter
and deceleration parameter can be expressed in terms of the redshift $z$ and
these depend on the equation of state parameter $w_{phi}$. We also investigate
four kinds of well known parametrization models and graphically we have
analyzed the natures of potential, scalar field, function $f$, densities, the
Hubble parameter and deceleration parameter. As a result, the best fitted
values of the unknown parameters ($w_{0},w_{1}$) of the parametrizations models
due to the joint data analysis (SNIa+BAO+CMB+Hubble) are found. Furthermore,
the minimum values of $chi^{2}$ function are obtained. Also we have plotted
the graphs for different confidence levels 66%, 90% and 99% contours for
($w_{0},~w_{1}$) by fixing the other parameters.

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