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·s²)
• \( M_{\odot} \) — Solar mass (1.989 × 10³⁰ kg)
• \( M \) — Mass in solar masses
• \( c \) — Speed of light (299,792,458 m/s)

Explanation: The formula calculates the radius at which the escape velocity equals the speed of light for a given mass.

3. Importance of Schwarzschild Radius

Details: The Schwarzschild radius is fundamental in black hole physics and general relativity. It helps determine the size of black holes and the conditions under which they form.

4. Using the Calculator

Tips: Enter the mass in solar masses (where 1 M☉ = mass of our Sun). The calculator will provide the Schwarzschild radius in meters and kilometers.

5. Frequently Asked Questions (FAQ)

Q1: What's the Schwarzschild radius of the Sun?
A: Approximately 2.95 km (for 1 solar mass).

Q2: What's Earth's Schwarzschild radius?
A: About 8.87 mm (for Earth's mass of 3 × 10⁻⁶ solar masses).

Q3: Can anything escape from within the Schwarzschild radius?
A: No, not even light can escape from within this radius.

Q4: Does rotation affect the Schwarzschild radius?
A: This formula is for non-rotating black holes. Rotating black holes (Kerr black holes) have more complex solutions.

Q5: How does this relate to event horizons?
A: For a non-rotating black hole, the Schwarzschild radius defines the event horizon.