• $\Lambda$CDM cosmological models with quintessence in $f(R)$ theory of gravitation

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      https://www.ias.ac.in/article/fulltext/joaa/041/0012

    • Keywords

       

      Bianchi type-I; holographic dark energy; quintessence; $f(R)$ theory of gravitation.

    • Abstract

       

      The work is the study of Bianchi type-I models with holographic dark energy in the framework of $f(R)$ theory of gravitation. The exact solutions of the field equations are deduced by considering the exponential and power-law volumetric expansion. Various physical and kinematical properties of the models are discussed. In addition to make our interpretation more clear for that we have taken the state finder diagnostic pair $\{r; s\}$ and cosmic jerk parameter $j(t)$ to characterize different phases of the universe. The holographic scalar fields of dark energy are reconstructed and quintessence potential for both the modelsdescribing accelerated expansion of the universe is also obtained.

    • Author Affiliations

       

      S. D. KATORE1 S. V. GORE2

      1. Department of Mathematics, Sant Gadge Baba Amravati University, Amravati 446 602, India.
      2. Department of Mathematics, Indira Gandhi Kala Mahavidyalaya, Ralegaon 445 402, India.
    • Dates

       
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