The standard model of cosmology, including a cosmological constant (Lambda) and cold dark matter.The Lambda-CDM model is the standard cosmological paradigm, describing a universe composed of about 5% ordinary matter, 27% cold dark matter (CDM), and 68% dark energy, represented by the cosmological constant Lambda. It successfully explains the observed accelerating expansion of the universe, the cosmic microwave background radiation, the large-scale structure of galaxies, and the abundances of light elements. Despite its success, the model leaves the fundamental nature of both dark matter and dark energy unresolved, making it a working hypothesis rather than a complete theory.
The model emerged in the late 1990s after two teams discovered the accelerating expansion of the universe via Type Ia supernovae, leading to the 2011 Nobel Prize in Physics. The 'Lambda' term was originally introduced by Einstein in 1917 as a fudge factor to keep the universe static, then abandoned, and later revived to explain acceleration.
The model is built on Einstein's general relativity, with the universe's evolution governed by the Friedmann equations. Cold dark matter is assumed to be a non-relativistic, weakly interacting particle that clumps gravitationally, providing the scaffolding for galaxy formation. Dark energy, modeled as a cosmological constant, exerts negative pressure, causing the universe's expansion to accelerate. The model's parameters are constrained by observations: the cosmic microwave background (from Planck satellite), supernova distances, baryon acoustic oscillations, and weak gravitational lensing.
Lambda-CDM is the basis for all modern cosmological simulations, such as the Millennium and Illustris simulations, which model galaxy formation and evolution, and it guides the design of surveys like Euclid and the Dark Energy Survey.
The cosmological constant Lambda is so small that its value, if interpreted as vacuum energy, is off by about 120 orders of magnitude from quantum field theory predictions — one of the biggest unsolved problems in physics.














