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Schwarzschild radius
Schwarz·schild radius S0145700 (shwôrts′chīld′, shvärts′shĭld)n. The radius of a collapsing celestial object at which gravitational forces require an escape velocity that exceeds the velocity of light, resulting in a black hole. [After Karl Schwarzschild (1873-1916), German astronomer.]Schwarzschild radius (ˈʃwɔːtsˌʃɪld; German ˈʃvartsʃɪlt) n (Astronomy) astronomy the radius of a sphere (Schwarzschild sphere) surrounding a non-rotating uncharged black hole, from within which no information can escape because of gravitational forces[C20: named after Karl Schwarzschild (1873–1916), US astrophysicist]TranslationsSchwarzschild radius
Schwarzschild radius The radius of the event horizon of a black hole: a critical radius that must be exceeded by a body if light from its surface is to reach an outside observer. For a body of mass M (but zero angular momentum and zero electric charge), the Schwarzschild radius, R S, is given by R S = 2GM /c 2 where G is the gravitational constant and c the speed of light. If a body collapses so that its radius becomes less than this critical value, then the escape velocity becomes equal to the speed of light and the object becomes a black hole. The Schwarzschild radius is proportional to the mass of a body. For a star the size of the Sun, the Schwarzschild radius is some three km.Schwarzschild radius[′shvärts‚shilt ‚rād·ē·əs] (relativity) Conventionally taken to be twice the black hole mass appearing in the general relativistic Schwarzschild solution times the gravitational constant divided by the square of the speed of light; the event horizon in a Schwarzschild solution is at the Schwarzschild radius. |