Extended Extreme Multiple Reissner Nordstrom Black holes

  • #1
29
1
I have a question about equation 10.21 in "Exact Space-times in Einstein's General Relativity" by Griffiths and Podolski. The equation is the well know standard metric for multiple extreme Reissner Nordstrom black holes.
It has the below term:

(1+ sigma(mi/ri))

The point ri = 0 is of course the surface of the hole. My questions is the book states "The analytically extended
region inside this horizon has a metric similar to "10.21" but with a negative sign in the corresponding term in the sum, ... " They don't give a reference. Does anyone know how to I derive the above result?

Thanks.
 

Answers and Replies

  • #2
George Jones
Staff Emeritus
Science Advisor
Gold Member
7,440
1,095
Equations (10.20) and (9.21) have (roughly) the same form. The sentence before the sentence that includes (10.20) states "As shown by Hartle and Hawking (1972)". There is open-access to this paper at

http://projecteuclid.org/euclid.cmp/1103858037

A 1966 paper by Carter might also be useful.
 
  • #3
29
1
Thank you sir. You are correct. I am reading it now.
 

Related Threads on Extended Extreme Multiple Reissner Nordstrom Black holes

  • Last Post
Replies
3
Views
651
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
22
Views
5K
Replies
1
Views
4K
Replies
4
Views
3K
Replies
5
Views
2K
Replies
1
Views
2K
Replies
5
Views
4K
Replies
18
Views
1K
  • Last Post
Replies
2
Views
1K
Top