Radius inside which the gravitational attraction between a body's particles must cause its irreversible gravitational collapse, named for Karl Schwarzschild.
This is thought to be the final fate of the most massive stars (&see; black hole). The gravitational radius (&math.R;&math.g;) of an object of mass &math.M; is given by &math.R;&math.g; = 2&math.G;&math.M;/&math.c;2, where &math.G; is the universal gravitational constant and &math.c; the speed of light. For a star like the Sun, the Schwarzschild radius would be about 1.8 mi (3 km).
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