Schwarzschild Radius - Formula For The Schwarzschild Radius

Formula For The Schwarzschild Radius

The Schwarzschild radius is proportional to the mass with a proportionality constant involving the gravitational constant and the speed of light:

where:

is the Schwarzschild radius;
is the gravitational constant;
is the mass of the object;
is the speed of light in vacuum.

The proportionality constant, 2G/c2, is approximately 1.48×10−27 m/kg, or 2.95 km/solar mass.

An object of any density can be large enough to fall within its own Schwarzschild radius,

where:

is the volume of the object;
is its density.

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