Schwarzschild Radius Calculator

Calculate the Schwarzschild radius of a black hole based on its mass. This tool is designed for astrophysics enthusiasts and professionals to better understand black hole properties.

Enter Mass to Calculate Radius

Results

Schwarzschild Radius: -

Ecosystem of Authoritative Content

Data Source and Methodology

All calculations are based on the Schwarzschild radius formula derived from Einstein's theory of general relativity. For more information, refer to Wikipedia.

The Formula Explained

\[ R_s = \frac{2Gm}{c^2} \]

Where \( R_s \) is the Schwarzschild radius, \( G \) is the gravitational constant, \( m \) is the mass of the object, and \( c \) is the speed of light.

Glossary of Terms

How It Works: A Step-by-Step Example

For a mass of 1 solar mass, the Schwarzschild radius is approximately 2.95 kilometers. This is calculated using the formula above.

Frequently Asked Questions (FAQ)

What is the Schwarzschild radius?

The Schwarzschild radius is the radius of a sphere such that, if all the mass of an object were to be compressed within that sphere, the escape velocity from the surface would equal the speed of light.

Why is it important?

It defines the size of the event horizon of a black hole, beyond which nothing can escape.

How is the mass input measured?

The mass should be entered in terms of solar masses, where one solar mass is the mass of the Sun.

Can this calculator be used for non-black hole objects?

While the formula applies universally, it is most relevant when discussing objects with extremely high mass and density, like black holes.

What are the limitations of this calculator?

This calculator is a theoretical tool and assumes non-rotating, non-charged black holes.

Tool developed by Ugo Candido. Content verified by the CalcDomain Expert Team. Last reviewed for accuracy on: October 5, 2023.

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