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Dynamics of Hu–Sawicki model in Born–Infeld f(R) gravity theory

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Abstract

A systematic study on the Born–Infeld theory within the Palatini approach of f(R) gravity has been performed and the field equations are investigated considering the Hu–Sawicki model. We study the dynamics of the system in the background of isotropic Friedmann–Leimaître–Robertson–Walker (FLRW) model as well as anisotropic Bianchi I and V models. A very useful approach known as dynamical system approach (DSA) has been adopted to find the equilibrium points and to study the physical behaviour of the model under consideration. Moreover, the capability of the model to reproduce the sequence of radiation dominated, matter dominated and late time accelerated expansion is investigated. This analysis provides information about the evolution of anisotropy parameter (shear) and spatial curvature with time and their behaviour in the different eras of the cosmic evolution.

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Authors and Affiliations

  1. Department of Physics, Barnagar College, Barpeta, 781317, Assam, India

    Debika Kangsha Banik & Sebika Kangsha Banik

  2. Department of Physics, Dibrugarh University, Dibrugarh, 786004, Assam, India

    Kalyan Bhuyan

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  1. Debika Kangsha Banik
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Banik, D.K., Banik, S.K. & Bhuyan, K. Dynamics of Hu–Sawicki model in Born–Infeld f(R) gravity theory. Gen Relativ Gravit 54, 29 (2022). https://doi.org/10.1007/s10714-022-02919-2

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