Question

If the Sun were to become a black hole, to what radius must it be compressed?

Answer 1

here,

There is no plausible proof that the Sun can become a Black hole.

The Pressure of the space substance on the sun is small as compared to the pressure of gravity on a Neutron.

The Schwarzshield Radius of a singularity is given by the following equation;

Rs/2 =GM/C^2

Where G is newton Universal constant and M is the Mass of the singularity and C is the speed of light.

Rs = 2 * 6.67 * 10^-11 * 2 * 10^30 /( 3 * 10^8)^2

Rs = 2.96 * 10^3 m

the radius of sun must be 2.96 * 10^3 m