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?