Beta Phase: Square45 is currently in beta testing. Expect some features or content to be incomplete or missing.
45

ΛCDM Model

The standard cosmological model, incorporating Lambda (dark energy), CDM (cold dark matter), and the Hubble constant.
📜

The statement of the theorem

Consider the Friedmann equation governing the evolution of the scale factor a(t)a(t) in a homogeneous and isotropic universe:\n(a˙a)2=8πG3ρ−kc2a2\left(\frac{\dot{a}}{a}\right)^2 = \frac{8\pi\text{G}}{3}\rho - \frac{\text{k}\text{c}^2}{a^2} \nWhere the total energy density ρ\rho is parameterized by the components of the Λ\LambdaCDM model:\nρ=ρma−3+ρra−4+ρΛ\rho = \rho_m a^{-3} + \rho_r a^{-4} + \rho_{\Lambda} \nAnd ρΛ\rho_{\Lambda} is the constant vacuum energy density associated with the cosmological constant Λ\Lambda.
Source: Wikipedia