A New Action-Derived Form of The Black Hole Metric
  Several different but equivalent forms of the spherical black hole (Schwarzschild) are known, as well as several derivations. Here a novel form is derived through the power of the action formalism. The method generalizes to any spherical black hole or brane, and the charged hole case (Reissner-Nordstrom) is worked out in detail. 
Barak Kol