$Λ$CDM and Power-Law Expansion in Lyra's Geometry

We establish in a cosmological model based on Lyra's geometry a relationship between a displacement vector field $ϕ_μ$, the Hubble parameter and the matter energy density $ρ_{m}$ (with a constant equation of state $0 \le ω_{m} < 1$) via an arbitrary function $α(t)$. For a pressureless matter ($ω_{m}=0$) the effective equation of state $ω_{eff}$ is completely determined by $α(t)$. We subsequently investigate and find exact solutions in models yielding the $Λ$CDM and a power-law expansion.

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