The mass of a black hole, a key parameter determining its size and gravitational influence.Black hole mass is the fundamental property that governs a black hole's size, gravitational pull, and influence on its surroundings. It determines the radius of the event horizon — the point of no return — which scales linearly with mass. The mass also sets the timescale for orbital motion of nearby objects and the rate at which the black hole evaporates via Hawking radiation, though for stellar-mass black holes this process is unimaginably slow.
The concept of a body so massive that light cannot escape dates to John Michell (1783) and Pierre-Simon Laplace (1796), but the modern black hole solution to Einstein's equations was found by Karl Schwarzschild in 1916. The term 'black hole' was coined by John Wheeler in 1967.
Astronomers measure black hole mass through dynamical methods: observing the motion of stars or gas clouds orbiting the black hole and applying Kepler's laws. For supermassive black holes, the velocity dispersion of stars in the galactic bulge correlates with mass (the M-sigma relation). More recently, gravitational waves from merging black holes provide a direct measurement of the masses involved, as the waveform encodes the chirp mass. The mass also appears in the Schwarzschild radius formula, r_s = 2GM/c², linking gravity to geometry.
Black hole mass measurements are essential for testing general relativity, understanding galaxy formation and evolution, and interpreting gravitational wave signals from LIGO and Virgo.
The supermassive black hole at the center of the galaxy M87, imaged by the Event Horizon Telescope, has a mass of about 6.5 billion Suns — yet its average density is lower than that of air.






