黑洞半徑計算器

What is the Black Hole Radius?

The Schwarzschild radius (Rₛ) is the radius of the event horizon of a non-rotating, uncharged black hole. It is derived from Einstein's theory of general relativity, with the formula:

Rₛ = 2GM/c²

Where:

• Rₛ is the Schwarzschild radius
• G is the gravitational constant (6.67430 × 10⁻¹¹ m³⋅kg⁻¹⋅s⁻²)
• M is the mass of the black hole
• c is the speed of light (299,792,458 m/s)

When an object is compressed within its Schwarzschild radius, it becomes a black hole—a region of spacetime with gravity so strong that not even light can escape.

How to Use

1. Enter the mass of the object (in kilograms) in the input field.
2. Click the "Calculate" button, and the system will automatically compute and display the corresponding Schwarzschild radius.
3. The result will be displayed in meters with appropriate formatting.

Reference Schwarzschild Radii for Common Celestial Bodies

Practical Applications

The Schwarzschild radius is significant in astrophysics:

1. Black Hole Research: Helps scientists understand the properties and behavior of black holes.
2. Gravitational Theory Validation: Used to test predictions of general relativity.
3. Cosmology: Plays a crucial role in studying the structure and evolution of the universe.

Influencing Factors

The calculation of the Schwarzschild radius is primarily affected by:

1. Mass Accuracy: The precision of the input mass directly impacts the result.
2. Physical Constants: The accuracy of the gravitational constant and the speed of light.
3. Numerical Computation: Limitations of floating-point arithmetic in computers.

Notes

• The result is a theoretical value; actual black holes may differ due to rotation or charge.
• The input mass must be a positive number.
• For extremely small masses (e.g., human mass), the Schwarzschild radius is minuscule and purely theoretical.
• In nature, only sufficiently massive stars under specific conditions can collapse to form black holes.

Frequently Asked Questions

Q: Does every object have a Schwarzschild radius? A: Yes, any object with mass has a theoretical Schwarzschild radius, but it only becomes a black hole if compressed within this radius.

Q: Why doesn't the Sun become a black hole? A: The Sun's mass is insufficient for it to naturally collapse within its Schwarzschild radius (approximately 3 kilometers).

Q: What is the relationship between the Schwarzschild radius and the size of a black hole? A: For a non-rotating, uncharged black hole, the Schwarzschild radius is the radius of the event horizon, often referred to as the "size" of the black hole.