1. What is Schwarzschild Radius?

The Schwarzschild radius is the radius of the event horizon of a non-rotating black hole. It represents the point of no return where the escape velocity equals the speed of light.

2. How Does the Calculator Work?

The calculator uses the Schwarzschild radius formula:

Where:

• \( r_s \) — Schwarzschild radius (meters)
• \( G \) — Gravitational constant (6.67430 × 10^-11 m³ kg^-1 s^-2)
• \( M \) — Mass of the object (kg)
• \( c \) — Speed of light (299,792,458 m/s)

Explanation: The formula shows the relationship between an object's mass and the radius at which its escape velocity would equal the speed of light.

3. Importance of Schwarzschild Radius

Details: The Schwarzschild radius is fundamental in general relativity and black hole physics. It helps determine whether an object could become a black hole if compressed within this radius.

4. Using the Calculator

Tips: Enter the mass of the object in kilograms. The calculator will compute the Schwarzschild radius in meters.

5. Frequently Asked Questions (FAQ)

Q1: What's the Schwarzschild radius of Earth?
A: Approximately 8.87 mm - Earth would need to be compressed to this size to become a black hole.

Q2: What's the Schwarzschild radius of the Sun?
A: Approximately 2.95 km.

Q3: Does rotation affect the Schwarzschild radius?
A: The basic formula is for non-rotating black holes. Rotating black holes (Kerr black holes) have more complex event horizons.

Q4: Can anything escape from within the Schwarzschild radius?
A: Nothing, not even light, can escape from within the event horizon.

Q5: How was this radius discovered?
A: Karl Schwarzschild derived this solution to Einstein's field equations in 1916, shortly after Einstein published general relativity.