Schwarzschild Radius Derivation: Is it Possible Classically?

In summary, the Schwarzschild Radius is a measure of the event horizon of a black hole, derived using Einstein's theory of general relativity. It cannot be derived through classical physics or experimental measurements. It is important in understanding the properties of black holes, such as the boundary of the event horizon and the size and mass of the black hole.
  • #1
TimeRip496
254
5
Is it possible to derive r=GM/c^2 classically(as in Newtonian gravity) without using eeinstein field equation?
 
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  • #2
You can set the escape velocity to ##c## and find this radius immediately in Newtonian gravity: ##c=\sqrt{\frac{2GM}{r}}\rightarrow ~r=\frac{2GM}{c^2}## however, what this radius means in Newtonian gravity is not the same as what it means in GR.
 

Related to Schwarzschild Radius Derivation: Is it Possible Classically?

1. What is the Schwarzschild Radius?

The Schwarzschild Radius is a measure of the size of the event horizon of a black hole, beyond which nothing, including light, can escape.

2. How is the Schwarzschild Radius derived?

The Schwarzschild Radius is derived using Einstein's theory of general relativity, which describes the curvature of space and time around massive objects.

3. Is it possible to derive the Schwarzschild Radius using classical physics?

No, it is not possible to derive the Schwarzschild Radius using classical physics. It requires the use of Einstein's theory of general relativity, which takes into account the effects of gravity on the curvature of space and time.

4. Can the Schwarzschild Radius be derived through experimental measurements?

No, the Schwarzschild Radius cannot be directly measured through experiments. It is a theoretical concept that is used to describe the properties of black holes.

5. Why is the Schwarzschild Radius important in the study of black holes?

The Schwarzschild Radius is important because it defines the boundary of the event horizon, which is the point of no return for objects entering a black hole. It also helps to determine the size and mass of a black hole.

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