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

Click For Summary

Discussion Overview

The discussion revolves around the mathematical projection of a Killing vector onto a Schwarzschild field of spacetime. Participants explore the meaning and implications of this projection, particularly in relation to black and white holes within the context of Schwarzschild spacetime.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question the clarity and meaning of the original question regarding projecting a Killing vector onto a Schwarzschild field.
  • There is a request for references to clarify the intent behind the projection of a black and white hole onto Schwarzschild spacetime.
  • One participant asserts that Schwarzschild spacetime inherently includes both black and white holes, suggesting that the question may be based on a misunderstanding.
  • Another participant proposes the use of Kruskal coordinates for visualizing the maximally extended Schwarzschild solution.

Areas of Agreement / Disagreement

Participants generally express disagreement regarding the formulation and validity of the original question, with no consensus on how to approach the projection of a Killing vector in this context.

Contextual Notes

There are unresolved assumptions about the definitions and implications of projecting a Killing vector, as well as the nature of black and white holes in relation to Schwarzschild spacetime.

bobrubino
Messages
6
Reaction score
1
TL;DR
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?
 
Physics news on Phys.org
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.
 
  • Like
Likes   Reactions: robphy
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.
 
  • Like
Likes   Reactions: Dale
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
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
22
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 38 ·
2
Replies
38
Views
4K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 16 ·
Replies
16
Views
3K