B How do you project a Killing Vector onto a Schwarzschild field?

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The discussion centers on the mathematical projection of a Killing vector onto a Schwarzschild field of spacetime, with participants questioning the clarity and intent of the original query. It is noted that Schwarzschild spacetime represents both a black hole and a white hole, leading to confusion about the projection of these concepts. Participants emphasize the need for references or clearer explanations to understand the purpose behind the projection. Suggestions include using Kruskal coordinates for visualizing the maximally extended Schwarzschild solution. Overall, the conversation highlights the complexities involved in projecting concepts within general relativity.
bobrubino
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What is the math for projecting a Killing vector onto a Schwarzschild field of spacetime?
What is the math for projecting a Killing vector onto a Schwarzschild field of spacetime? How would you do it?
 
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What is a Schwarzschild field? Is this meant to be "B" level?
 
bobrubino said:
What is the math for projecting a Killing vector onto a Schwarzschild field of spacetime?
The question doesn't make sense. Can you give a reference that explains what you are trying to do?
 
PeterDonis said:
The question doesn't make sense. Can you give a reference that explains what you are trying to do?
I am trying to project a black and white hole onto a field of Schwarzschild spacetime and I don't know what to do. Do you have any advice?
 
bobrubino said:
I am trying to project a black and white hole onto a field of Schwarzschild spacetime and I don't know what to do. Do you have any advice?
Your question still doesn't make sense. Again, where are you getting this from? What makes you think this is even a meaningful thing to do? Why do you want to do it? A reference would be helpful.
 
bobrubino said:
I am trying to project a black and white hole onto a field of Schwarzschild spacetime and I don't know what to do.
Schwarzschild spacetime is a black hole and a white hole. Your question makes no sense.

Are you trying to find the spacetime for a binary blackhole? You can't do it by adding together two copies of the solutions for one black hole.
 
bobrubino said:
I am trying to project a black and white hole onto a field of Schwarzschild spacetime
The maximally extended Schwarzschild is both a black hole and a white hole. If you are just trying to visualize that, my preference is Kruskal coordinates

468px-Kruskal_diagram_of_Schwarzschild_chart.svg.png
 

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