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Dark Energy Density Parameter

Omega\_\rho, representing the fraction of the universe's energy density attributed to dark energy.
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The statement of the theorem

Define the critical density ρc\rho_c and the dark energy density ρΛ\rho_{\Lambda}. The dark energy density parameter ΩΛ\Omega_{\Lambda} is defined as the ratio:\nΩΛ=ρΛρc\Omega_{\Lambda} = \frac{\rho_{\Lambda}}{\rho_c} \nFurthermore, the evolution of ΩΛ\Omega_{\Lambda} with the scale factor a(t)a(t) is constrained by the equation of state parameter ww: ρΛ∝a−3(1+w)\rho_{\Lambda} \propto a^{-3(1+w)}. For a cosmological constant, w=−1w=-1, implying ΩΛ=constant\Omega_{\Lambda} = constant.
Source: Wikipedia