What Is the Schwarzschild Radius Black Hole Calculator?
The Schwarzschild radius defines the critical radius below which spacetime curvature prevents any information or radiation from reaching asymptotic observers.
How Does the Schwarzschild Radius Black Hole Calculator Work?
At this radius, gravitational escape velocity equals the speed of light c in vacuum.
Schwarzschild Radius Black Hole Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
r_s = \frac{2 \cdot G \cdot M}{c^2}, \quad \rho_{avg} = \frac{3 \cdot M}{4\pi \cdot r_s^3}
Schwarzschild radius rs equals 2 times gravitational constant G times mass M divided by speed of light c squared.
How to Use the Schwarzschild Radius Black Hole Calculator
- Enter the mass of the object or celestial body in kilograms.
Step-by-Step Example Calculation
One Solar Mass (1 M☉)
Input Values:
massKg:1.989e30
Worked Steps: A black hole with the mass of our Sun has an event horizon radius of only 2.95 km.
Understanding Your Result
Event Horizon Radius (km/m): Spatial boundary of the black hole.
Solar Masses (M☉): Mass normalized to our Sun.
Average Density (kg/m³): Mass divided by event horizon Euclidean sphere volume.
Factors That Affect the Result
- Radius scales strictly linearly with mass: doubling the mass doubles the event horizon radius.
When Should You Use This Calculator?
- Astrophysical research, stellar collapse physics, and educational demonstrations of general relativity.
Assumptions & Limitations
- Assumes a static, spherically symmetric, non-rotating (Kerr parameter a=0) mass distribution.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Exact Schwarzschild metric solution using standard CODATA constants G and c.