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In this paper, we study the cosmological analysis of the modified holographic Ricci dark energy model and reconstruct different scalar field models in the context of Chern-Simons modified gravity. We investigate the deceleration parameter, which shows that the universe is in the accelerating expansion phase. The equation of state parameter in this case also favors the fact that dark energy is the dominant component of universe, which is responsible for the accelerated expansion. A number of scalar fields, such as quintessence, tachyon, K-essence, and dilaton models, are reconstructed using modified holographic Ricci dark energy model in the context of dynamical CS modified gravity. The quintessence and K-essence models represent exponentially increasing behaviors, while tachyon model shows decreasing behavior. Unfortunately, the dilaton model has no numerical solution for modified holographic Ricci dark energy model in the framework of dynamical Chern-Simons modified gravity.

A large number of evidences have been provided in the favor of accelerated expansion of the universe by Type Ia supernovae [

In recent studies, to understand the nature of universe, a new DE model has been constructed in the context of quantum gravity on holographic principle named holographic dark energy (HDE) model [

Jackiw and Pi [

In this paper, working on same lines using the MHRDE model, we explored the energy density, deceleration parameter, EoS parameter, and correspondence between different models. The paper is organized in following order. The basic formalism of CS modified gravity is discussed in Section

Jackiw and Pi [

The variation of Einstein-Hilbert action

In this paper, we studied FRW universe in the framework of dynamical CS modified gravity. By the 00-component of field equation for FRW universe using (

Using holographic principle, Hooft [

In this paper, we use HDE model suggested by Granda and Oliveros in [

The graphical behavior of the density is exponentially increasing after

The rate of expansion of the universe remained unchanged at constant values of

The deceleration parameter

The nature of component which is dominating universe can be studied with the EoS parameter

In this section, we discuss different scalar field models like quintessence, tachyon, K-essence, and dilaton models in the framework of CS modified gravity. To study the behavior of quantum gravity, we explore the potential and scalar field.

A DE model is developed to explain the late-time cosmic acceleration called quintessence, which is a simplest scalar field that has no theoretical problem like ghosts and Laplacian instabilities appearance [

The comparison of EoS

Much attention has been given to tachyon field models in the last few decades in string theory and cosmology [

The graph plotted for the potential

Armendariz et al. [

The negative kinetic energy of the phantom field creates the problem of quantum instability. To resolve this puzzle of instability, dilaton model is proposed and further used to study the nature of DE. The dilaton model is defined as 4-dimensional effective low-energy model in the context of string theory. The pressure and energy densities are presented as

This work is devoted to study the cosmological analysis of MHRDE model in the context of CS modified gravity. The energy density for this model is calculated and observed in Figure

Density versus redshift parameter.

Furthermore, we reconstructed different scalar filed models using MHRDE in the context of dynamical CS modified gravity and found interesting results plotting them graphically. It is obvious that the potential of quintessence model depends only on the value of constant of integration

Potential versus redshift parameter.

Potential versus redshift parameter.

No data were used to support this study; these are the general results obtained mathematically using Mathematica software.

The authors declare that they have no conflicts of interest.

The authors acknowledge the remarkable assistance of the Higher Education Commission Islamabad, Pakistan. Sarfraz Ali would like to acknowledge Department of Physics and Astronomy, University of British Columbia, Canada, for giving me space in their Astro Lab for six months as Visiting International Research Scholar. Sarfraz Ali really thankful to Dr. Douglas Scott for his supervision and valuable suggestions on this work.