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AdS Black hole on-shell action

  1. Feb 1, 2017 #1
    1. The problem statement, all variables and given/known data
    I want to calculate the on shell action for the case of a AdS Schwarzschild black hole.

    2. Relevant equations
    Following the case of the flat Schwarzschild black hole I tried to add a counter-term of the type of a Gibbons-Hawking boundary term for flat Minkowski spacetime, however this doesn't seem to lead to a finite answer when I take the limit r to infinity.

    Is there a method to find out what is the right counter-term that I need to add?
     
  2. jcsd
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