We consider a model in which accelerated particles experience line-elements
with maximal acceleration corrections that are introduced by means of succ
essive approximations. It is shown that approximations higher than the firs
t need not be considered. The method is then applied to the Kerr metric. Th
e effective field experienced by accelerated test particles contains correc
tions that vanish in the limit h --> 0, but otherwise affect the behaviour
of matter greatly. The corrections generate potential barriers that are ext
ernal to the horizon and are impervious to classical particles. (C) 2001 El
sevier Science B.V. All rights reserved.