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The present paper deals with Bianchi type IX cosmological model with magnetized anisotropic dark energy by using Barber’s self-creation theory. The energy momentum tensor consists of anisotropic fluid with EoS parameter

In an attempt to produce continuous creation theories, in 1982, Barber [

An anisotropic cosmological model plays an important role in the large scale behavior of the universe. Many researchers working on cosmology by using relativistic cosmological models have not given proper reasons to believe in a regular expansion for the description of the early stages of the universe. Anisotropies in the CMB are related to small perturbation, superimposed on the perfectly smooth background, which are believed to seed formation of galaxies and large scale structure in the universe. There are some experimental data of CMR and theoretical arguments which support the existence of anisotropic universe (Chimento [

In the present paper we have used magnetic anisotropic Bianchi type IX space time. Many researchers are using Bianchi type IX space time because this space time model allows not only expansion but also rotation and shear. Bali and Dave [

We consider Bianchi type IX metric in the form

The field equations in Baber’s second self-creation theory are

We consider the energy momentum tensor for the magnetized anisotropic DE fluid

In a comoving coordinate system Einstein’s field (

The above system of the equations (

As the DE component and magnetic field interact minimally, the Bianchi identity given by (

Thus the conservations of the energy momentum of the DE are given by

And the conservation of the energy momentum tensor of the magnetic field is given by

After integration (

The last term in (

According to (

As per our assumption (Berman [

On integration, equating (

Average scale factor for this model by (

In this model the direction the directional Hubble parameter, mean generalized Hubble parameters, expansion scalar, Barber’s scalar field, and shear scalar all are the functions of the cosmic time except the mean anisotropy parameter

We now extend our work to investigate the consistency of model (

The average scale factor of the universe

Equations (

Average scale factor for this model by (

In this case (

For this model average scale factor

In this case also we extend our work to investigate the consistency of model (

In the present paper, we have discussed magnetized Bianchi type IX cosmological model in Barber’s second self-creation theory. We have studied the minimal interaction between magnetic field and DE which will help us in detecting DE. We have obtained the exact solution of the Bianchi type IX cosmological model. It is observed that in both models EoS parameter is a function of cosmic time which supported the recent observations. The interesting and remarkable observation of the present paper is that the mean anisotropy parameter

We have also studied the two astrophysical phenomena such as look-back time redshift and luminosity distance redshift for both models and observed that such models are compatible with recent observations because from the point of recent astronomical measurements obtained by Pawar et al. [

Our present model is noninteracting Bianchi type IX cosmological model which cannot resolve the coincidence problem since it predicts inclusive system in which magnetic energy density decreases faster (which is inversely proportional to scale factor), while density of the dark energy either remains constant or increases. The interacting models play an important role in the study of coincidence problem [

The authors declare that there is no conflict of interests regarding the publication of this paper.

The authors would like thank the referee for invaluable suggestions.