Parametrizations of dark energy models in the background of general non-canonical scalar field in D-dimensional fractal universe

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2019-08, Vol.79 (8), p.1-14, Article 722
• Main Authors: Debnath, Ujjal, Bamba, Kazuharu
• Format: Article
• Language: English
• Subjects: Analysis; Astronomical models; Astronomy; Astrophysics and Cosmology; Confidence intervals; Dark energy; Data analysis; Deceleration; Elementary Particles; Equations of state; Expanding universe theory; Fractals; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Parameterization; Parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Red shift; Regular Article - Theoretical Physics; Specific gravity; String Theory; Universe
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-019-7172-y

We have explored non-canonical scalar field model in the background of non-flat D -dimensional fractal Universe on the condition that the matter and scalar field are separately conserved. The potential V , scalar field ϕ , 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 ϕ . We have also investigated the cosmological analysis of four kinds of well known parametrization models. In 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 parametrization models due to the joint data analysis (SNIa+BAO+CMB+Hubble) have been found. Furthermore, the minimum values of χ 2 function have been 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.