  We propose an alternative theoretical approach showing how the existence of
an extra dimension in Randall-Sundrum model can estimate the correction in the
horizon of Schwarzschild and Kerr black holes, and consequently its
measurability in terms of the variation of quasar luminosity, which can be
caused by a imprint of an extra dimension endowing the geometry of a
brane-world scenario in an AdS5 bulk. The rotation effects cause a more
prominent correction in Kerr horizon radius than in Schwarzschild (static black
hole) radius, via brane-world effects, and the consequent bigger variation in
the luminosity in Kerr black holes quasars. This paper is intended to
investigate the variation of luminosity due to accretion of gas in
Schwarzschild and Kerr black holes (BHs) in the center of quasars, besides also
investigating the variation of luminosity in supermassive BHs by brane-world
effects, using Randall-Sundrum model.
