Schwarzschild Radius Calculator
Calculate the event horizon radius of a black hole
About this calculator
The Schwarzschild Radius Calculator determines the event horizon radius of a black hole based on its mass. This critical distance represents the point of no return where the gravitational pull becomes so strong that nothing, not even light, can escape. The calculator is essential for astronomers, physicists, and students studying black hole physics, helping them understand the relationship between mass and the size of a black hole's event horizon using Einstein's general relativity equations.
How to use
Enter the mass of the black hole in solar masses, kilograms, or other units into the input field. The calculator will automatically compute the Schwarzschild radius using the formula Rs = 2GM/c², where G is the gravitational constant, M is the mass, and c is the speed of light. The result shows the event horizon radius in kilometers or meters.
Frequently asked questions
What is the Schwarzschild radius?
The Schwarzschild radius is the critical distance from a black hole's center that defines its event horizon, beyond which nothing can escape the gravitational pull.
How is the Schwarzschild radius calculated?
It's calculated using the formula Rs = 2GM/c², where G is the gravitational constant, M is the black hole's mass, and c is light speed.
What happens at the Schwarzschild radius?
At this distance, the escape velocity equals the speed of light, making it impossible for anything to escape the black hole's gravitational field.