fR,ϕ cosmology with the parametrization of H(z) parameter

Goyal N. Yadav A.K. Shekh S.H. Ghrera A.S.
May 2025 Springer Science and Business Media Deutschland GmbH

European Physical Journal Plus
2025 #140 Issue 5

Building FRW cosmological models within the context of the f(R,ϕ) theory of gravity is our goal in this effort. We investigate the universe’s accelerating behavior for a specific form of the f(R,ϕ) gravity model by employing a new, straightforward parametrization of the Hubble parameter in the form H(z)=H021+(1+z)(2(1+α))12. Using the χ2-minimization approach, we impose constraints on the related free parameters that are present in H(z) within the 1σ, 2σ, and 3σ confidence bounds. It has been observed that the values obtained are all within the range that is indicated by cosmological observations. Through the utilization of the free parameter best-fit values, we have ascertained the current geometrical parameter values and illustrated the Universe’s accelerating behavior. Through the use of physical characteristics such as energy density, pressure, and equation of state parameter, we have talked about the physical behavior of the cosmos in our model. Additionally, we have looked at the kinematic parameters such as the jerk, deceleration, and Hubble parameters of the cosmos in our model. The deceleration parameter q(z) in our model represents the phase transition of the cosmos from deceleration to acceleration. Additionally, the deceleration parameter’s current value is q0=-0.361, and the transition redshift value is zt=0.62. This kind of situation is closely linked to the conventional ΛCDM model.

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Department of Applied Sciences, The NorthCap University, Gurugram, 122017, India
Department of Physics, United College of Engineering and Research, Greater Noida, 201310, India
Department of Mathematics, S.P.M. Science and Gilani Arts and Commerce College, Maharashtra, Ghatanji, Yavatmal, 445301, India
L N Gumilyov Eurasian National University, Astana, 010008, Kazakhstan

Department of Applied Sciences
Department of Physics
Department of Mathematics
L N Gumilyov Eurasian National University

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