Dark Energy Constraints on Red-Shift-Based 𝑓(𝑅) Gravity

Table 1

𝐻(𝑧)² for Dark Energy models [81].

Model	𝐻(𝑧)^2	Best fit parameter
GCG	𝐻^2(𝑧)=𝐻^20Ω0𝑚(1+𝑧)^3+(1−Ω0𝑚)(𝑎1+(1−𝑎1)(1+𝑧)^3)^𝜔	𝑎1=0.9992^+0.0008−0.0060𝜔=18.13±4.95
LCDM	𝐻^2(𝑧)=𝐻^20[Ω0𝑚(1+𝑧)^3+1−Ω0𝑚]	Ω0𝑚=0.31±0.04
Quiess	𝐻^2(𝑧)=𝐻^20[Ω0𝑚(1+𝑧)^3+(1−Ω0𝑚)(1+𝑧)^3(1+𝜔)]	𝜔=−1.02±0.11