Abstract
In this work, we consider f(R) alternative theories of gravity with an eye to Noether symmetry through the gauge theorem. For non-vacuum models, one finds Λ like gravity with energy density of Chaplygin Gas. We also obtain the effective equation of state parameter for corresponding cosmology and scale factor behavior with respect to cosmic time which show that the model provides viable EoS and scale factor with respect to observational data.
Highlights
The recent observational data obtained from redshift of independent celestial objects such as Supernovae Ia [1,2,3,4] show that the universe is undergoing acceleration phase in late time
We show that even without using equation of state (EoS) of Chaplygin gas (Eq (1)) when p = − = const, Eq (2) will be reproduced as ρ = + ρ0a−3 which for early and late time behaves like matter and dark energy, respectively
The letter is organized as follows: In section 2, we review some basics of f (R) theory of gravity
Summary
The recent observational data obtained from redshift of independent celestial objects such as Supernovae Ia [1,2,3,4] show that the universe is undergoing acceleration phase in late time. Authors in [32,33,34] have studied f (R) cosmology with help of the Noether symmetry by canceling Lie derivative of point like Lagrangian along vector field X (L X L =0), we use gauge term to considering non-vacuum field in f (R) context with an eye to Noether approach. We show that even without using EoS of Chaplygin gas (Eq (1)) when p = − = const, Eq (2) will be reproduced as ρ = + ρ0a−3 which for early and late time behaves like matter and dark energy, respectively. For this specific form of pressure, we compute effective EoS which implies alternative form of quintessence model.
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