Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Extended Extreme Multiple Reissner Nordstrom Black holes

  1. Dec 3, 2014 #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?

  2. jcsd
  3. Dec 5, 2014 #2

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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


    A 1966 paper by Carter might also be useful.
  4. Dec 5, 2014 #3
    Thank you sir. You are correct. I am reading it now.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook