Maximally symmetric subspaces

  • Thread starter Ray
  • Start date
  • #1
Ray
25
0
"Is it possible to derive the Schwarzschild metric from Killing vectors, thus saving all that work with the Ricci tensor etc."
 

Answers and Replies

  • #2
150
0
Given Killing vectors may not determine the metric uniquely. For example, in a specific static case with three Killing vectors on S^2 one still needs the weak field limit imposed on it to recover the metric precisely.

cf Chapt. 7 of
http://pancake.uchicago.edu/~carroll/notes/
 
Last edited by a moderator:

Related Threads on Maximally symmetric subspaces

  • Last Post
Replies
8
Views
3K
  • Last Post
2
Replies
39
Views
3K
Replies
0
Views
455
Replies
4
Views
636
  • Last Post
Replies
2
Views
7K
  • Last Post
Replies
1
Views
979
Replies
4
Views
810
Replies
3
Views
2K
Replies
12
Views
1K
Top