Dark energy is a mysterious force accelerating the expansion of the universe, inferred from cosmological observations.Dark energy is a mysterious force that pushes galaxies in the Universe apart faster and faster, like wind blowing balloons apart. We don't see it, but we know it exists because the Universe is expanding at an accelerating rate.
In 1917, Albert Einstein introduced the cosmological constant for a static Universe, but abandoned it after Edwin Hubble's discovery of expansion in 1929. Georges Lemaître also linked the cosmological constant with vacuum energy. In 1998, the Supernova Cosmology Project and High-Z Supernova Search Team discovered accelerated expansion, independently confirming the need for dark energy. Subsequent experiments, such as WMAP and Planck, refined its parameters.
In the framework of GR, dark energy manifests as a source in Einstein's equations, creating a repulsive gravitational effect under negative pressure. The Friedmann equation describing the evolution of the scale factor a(t) contains a term with the cosmological constant: (ȧ/a)² = (8πG/3)ρ - k/a² + Λ/3. Under the dominance of Λ, the scale factor grows exponentially. Hubble's law v = H₀ d is modified: the Hubble parameter changes with time, and data from distant supernovae show deviation from linearity, indicating acceleration.
Dark energy makes up about 68% of all energy in the Universe — it's as if in a huge pie, almost three-quarters were made of invisible, intangible jelly!
| w | variable | Dark energy equation of state parameter — equation of state parameter |
| a | variable | Scale factor of the universe — scale factor |
| w_0 | variable | Equation of state parameter at present epoch — equation of state parameter |
| w_a | variable | Coefficient of the evolution term — equation of state parameter |
| w | variable | Equation of state parameter of dark energy — equation of state parameter |
| Ω_DE | variable | Density parameter of dark energy — density parameter |
| ρ_de | variable | effective dark energy density — energy density joule per cubic metre |
| ρ_φ | variable | energy density of the scalar field (e.g., quintessence) — energy density joule per cubic metre |
| ρ_dm | variable | current dark matter energy density (possibly varying) — energy density joule per cubic metre |
| ρ_dm,0 | variable | present-day dark matter energy density — energy density joule per cubic metre |
| a | variable | scale factor of the universe — scale factor |
| - | operator | subtraction — subtraction |
| a^{-3} | operator | raise to the power -3 — inverse cube |













