The motion and interactions of black holes, including mergers, orbits, and gravitational effects.Black hole dynamics is the study of how black holes move, interact, and influence their surroundings through gravity. This includes the orbital dance of binary black holes, the spiraling approach and eventual merger of two black holes, and the gravitational waves these events send rippling across spacetime. The field also examines how black holes accrete matter, launch jets, and affect the evolution of their host galaxies.
The theoretical framework was laid by Einstein in 1915, with the first exact black hole solution found by Karl Schwarzschild in 1916. The concept of black hole mergers and gravitational waves was developed over decades, with the first direct detection of gravitational waves from a black hole merger achieved by LIGO in 2015.
The dynamics are governed by Einstein's general relativity, where massive objects warp spacetime and move along geodesics. When two black holes orbit each other, they lose energy by emitting gravitational waves, causing their orbits to shrink over millions of years until they merge. The final merger produces a burst of gravitational waves and a single, more massive black hole, often with a recoil kick due to asymmetric emission.
Black hole dynamics is essential for interpreting gravitational wave signals detected by observatories like LIGO and Virgo, and for understanding the role of supermassive black holes in galaxy formation and evolution.
When two black holes merge, the resulting single black hole can receive a 'kick' of up to thousands of kilometers per second, potentially ejecting it from its host galaxy.
| δM | variable | Infinitesimal change in black hole mass — mass kilogram |
| κ | variable | Surface gravity of the black hole — surface gravity metre per second squared |
| δA | variable | Infinitesimal change in horizon area — area square metre |
| Ω_H | variable | Angular velocity of the horizon — angular velocity radian per second |
| δJ | variable | Infinitesimal change in angular momentum — angular momentum kilogram square metre per second |
| δ | operator | Infinitesimal variation of a quantity — variation |
| r_{\rm inf} | variable | Influence radius — radius metre |
| M_{\rm BH} | variable | Black hole mass — mass kilogram |
| \sigma | variable | Velocity dispersion of stars — velocity dispersion metre per second |
| G | constant | Newtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |










