The Schwarzschild radius of the sun can be calculated using Rs= (2GM)/c2. Substitute in the mass of the sun (M=21030), the speed of light (c=3108), and the universal gravitational constant (G=6.67410-11). a radius of 2966.35m will be calculated
Comparing this to the actual radius of the sun (7105km) it is seen that the real radius is much larder than the Schwarzschild radius. This means that the Schwarzschild zone ends within the sun! (I.e the sun would have to be <3000m in order to be a black hole.