Explore the dynamics of the universe with our Friedmann Equation Calculator. Quickly compute the Hubble Parameter (H), a key measure of cosmic expansion, directly from the critical density (ฯc). This tool simplifies understanding the conditions for a flat universe, making complex cosmology accessible for students, researchers, and space enthusiasts.
Formula:
The Friedmann equations are fundamental in cosmology, describing the expansion of space in homogeneous and isotropic models of the universe. Our calculator uses a simplified form derived from the first Friedmann equation, focusing on the relationship between the Hubble Parameter (H) and the critical density (ρc) for a flat universe:
Formula: H = √((8πG × ρc) / 3)
Where:
- H = Hubble Parameter (km/s/Mpc) - Describes the current expansion rate of the universe.
- ρc = Critical density (kg/m³) - The exact mass-energy density required for a flat universe (where space is Euclidean).
- G = Gravitational Constant (6.674 × 10โปยนยน m³/kg·s²)
- π = Pi (approx. 3.14159)