Density parameters, age and fate

Matter and a cosmological constant give H^2 / H0^2 = Omega_m (1 + z)^3 + Omega_k (1 + z)^2 + Omega_Lambda and q0 = Omega_m / 2 - Omega_Lambda; a flat 30 percent matter universe is 0.964 Hubble times old, and a positive constant decides the fate.

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