Birkhoff's theorem with cosmological constant

  • Thread starter pervect
  • Start date
  • #1
pervect
Staff Emeritus
Science Advisor
Insights Author
9,862
1,056
Birkhoff's theorem says that any vacuum solution of Einstein's equations must be static, and asymptotically flat.

One of the consequences of Birkhoff's theorem is that the gravitational field inside any spherical shell of matter is zero, even if the shell is expanding.

But what happens if we allow a cosmological constant? Can we still say that the field inside a spherical shell of matter (including expanding shells) is zero if we assume that the universe has a non-zero cosmological constant?
 

Answers and Replies

Related Threads on Birkhoff's theorem with cosmological constant

  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
6
Views
823
  • Last Post
Replies
5
Views
2K
Replies
7
Views
10K
Top