• Behaviour of physical parameters in extended gravity with hyperbolic function

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      https://www.ias.ac.in/article/fulltext/joaa/039/05/0059

    • Keywords

       

      Hyperbolic scale factor; modified gravity; equation of state parameter; effective cosmological constant.

    • Abstract

       

      In this paper, we have constructed the cosmological model of the universe in $f (R, T)$ theory of gravity in a Bianchi type VI$_h$ universe for the functional $f (R, T)$ in the form $f (R, T) = \mu R + \mu T$, where $R$ and $T$ are respectively Ricci scalar and trace of energy momentum tensor and $\mu$ is a constant. We have made use of the hyperbolic scale factor to find the physical parameters and metric potentials defined in the space-time. The physical parameters are constrained from different representative values to build up a realistic cosmological model aligned with the observational behaviour. The state finder diagnostic pair is found to be in the acceptable range. The energy conditions of the model are also studied.

    • Author Affiliations

       

      FAKHEREH MD. ESMAEILI1 B. MISHRA2

      1. School of Physics, University of Hyderabad, Hyderabad 500 046, India.
      2. Department of Mathematics, Birla Institute of Technology and Science – Pilani, Hyderabad Campus, Hyderabad 500 078, India.
    • Dates

       
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