Is schwarzschild radius, where the whormholes could be made?

In summary, the conversation discusses the Schwarzschild metric in Kruskal coordinates and its application to creating a dynamic wormhole. The resulting embedding diagram shows that the wormhole's mouth closes quickly, making it impossible for any object to pass through using classical energy methods. The conversation also includes a link for further explanation on the topic.
  • #1
ryanuser
74
0
Comment, discuss and explain please.
Thanka
 
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  • #2
There's not much to discuss really. Write down the Schwarzschild metric in Kruskal coordinates so that you get both event horizons (the one in region II and the one in region III), take a ##V = \text{const.}##, ##\theta = \frac{\pi}{2}## slice of the Schwarzschild metric in Kruskal coordinates, and embed the resulting 2-manifold into ##\mathbb{R}^{3}##. The resulting embedding diagram will be a dynamic wormhole whose mouth closes before any time-like worldline or null geodesic can pass through it using classical energy methods.
 
  • #3
Sorry, but I really didn't get any of except the last where you said its mouth closes so quickly that nothing will be able to pass through it.
Im not a physics student but I study about it and this question just popped in my mind, could be more clear about the idea.
Thanks
 
  • #4
See here: http://casa.colorado.edu/~ajsh/schww.html
 

Related to Is schwarzschild radius, where the whormholes could be made?

1. What is the Schwarzschild radius?

The Schwarzschild radius is a characteristic radius defining the boundary of a non-rotating black hole. It is named after the German astronomer Karl Schwarzschild and is calculated based on the mass of the black hole.

2. Can wormholes be made at the Schwarzschild radius?

While the Schwarzschild radius is a theoretical concept in the study of black holes, there is currently no scientific evidence to suggest that wormholes can be created at this radius. The existence of wormholes is still a subject of theoretical research and has not been proven.

3. What is the relationship between the Schwarzschild radius and the event horizon?

The Schwarzschild radius and the event horizon are closely related. The Schwarzschild radius is the distance from the center of a black hole at which the escape velocity exceeds the speed of light, while the event horizon is the boundary at which the escape velocity equals the speed of light.

4. Are there any known objects with a Schwarzschild radius?

Theoretically, any object with a mass can have a Schwarzschild radius. However, for an object to have a Schwarzschild radius, it would need to be compressed to an extremely small size and have a mass equivalent to that of a black hole. No known objects in our universe have these properties.

5. Is the Schwarzschild radius the same for all black holes?

The Schwarzschild radius is directly proportional to the mass of a black hole. Therefore, the Schwarzschild radius will vary for different black holes depending on their mass. The more massive the black hole, the larger its Schwarzschild radius will be.

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