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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