Observational constraint in Kantowski–Sachs f(R) gravity model with strange quark matter

In this paper, we have discussed the cosmological consequence of the f(R) dark energy scenario with the Kantowski-Sachs space-time in the context of strange quark matter with string clouds. Here, R is the "Ricci scalar" of space-time. The physical parameters are derived and their behavior is extensively described by using graphical representations. To achieve a deterministic solution we consider the time-dependent scale factor a(t) = α₁ exp (1/β √2βt⁺α, where α>0, β > 0 and α ≠ 1 are arbitrary constants. The deceleration parameter is assumed as a linear function of the Hubble parameter q = βH -1. We find constraints on H₀ and β with 57 observational Hubble data sets (OHD). The function f(R) is explicitly obtained and satisfies the cosmological viability constraint. We also examine the validity of the energy conditions. (author)