In the standard methodology for evaluating the Hawking radiation emanating
from a black hole, the background geometry is fixed. Trying to be more real
istic we consider a dynamical geometry for a two-dimensional charged black
hole and we evaluate the Hawking radiation as a tunneling process, This mod
ification to the geometry gives rise to a nonthermal part in the radiation
spectrum. We explore the consequences of this new term for the extremal cas
e, (C) 2001 Published by Elsevier Science B.V.