
A galaxy cluster is a gravitationally bound system containing hundreds to thousands of galaxies.Galaxy clusters are gravitationally bound systems containing hundreds to thousands of galaxies. They are immersed in a vast halo of hot plasma with a temperature of 10–100 million degrees, emitting in the X-ray range. Approximately 85% of the total mass is dark matter, 10–12% is hot gas, and only a few percent are stars. Clusters form at the nodes of the cosmic web—the large-scale structure of matter distribution in the Universe.
The Coma cluster was catalogued by Charles Messier in 1781 as a nebulous object. In 1933, Fritz Zwicky, applying the virial theorem to the velocity dispersion of galaxies in this cluster, showed that the dynamical mass far exceeds the visible mass and proposed the term 'dark matter'. In the 1970s, X-ray satellites (Uhuru, Einstein) discovered the hot intergalactic gas, which became an important tool for studying clusters. By the 1980s, it was clear that the baryonic component (stars and gas) is only a fraction of the total mass, with dark matter dominating. Vera Rubin earlier confirmed the need for dark matter on galactic scales.
The cluster is held together by gravity, described by Newton's law of universal gravitation and Einstein's general relativity. The velocity dispersion of galaxies (about 800 km/s) and the temperature of hot gas measure the depth of the gravitational potential: kinetic energy of gas particles ~ kT is comparable to potential, kT ~ μ m_p σ², where μ is the mean molecular mass, m_p the proton mass. The gas radiates via bremsstrahlung and spectral lines of highly ionized ions (e.g., iron Fe XXV–XXVI), allowing determination of temperature and chemical composition. Gravitational lensing of background galaxies provides an independent method to map the mass distribution. Cosmological simulations (Illustris, Millennium) within the cold dark matter model (ΛCDM) reproduce cluster formation.
Studying clusters helps to 'weigh' invisible dark matter, test theories of gravity, and understand how the large-scale structure of the cosmos formed.
The galaxy cluster El Gordo (ACT-CL J0102-4915) is the most massive known, with a mass exceeding 3 quadrillion solar masses.
| b | variable | bias parameter — bias parameter |
| ξ_gal | variable | galaxy two-point correlation function — correlation function |
| ξ_DM | variable | dark matter two-point correlation function — correlation function |
| √ | operator | takes the square root of the ratio — square root |


















