G. Cognola et P. Lecca, ELECTROMAGNETIC-FIELDS IN SCHWARZSCHILD AND REISSNER-NORDSTROM GEOMETRY - QUANTUM CORRECTIONS TO THE BLACK-HOLE ENTROPY, Physical review. D. Particles and fields, 57(2), 1998, pp. 1108-1111
Using standard coordinates, the Maxwell equations in Reissner-Nordstro
m geometry are written in terms of a couple of scalar fields satisfyin
g Klein-Gordon-like equations. The density of states is derived in the
semiclassical approximation and the first quantum correction to black
hole entropy is computed by using the brick-wall model.