  We formulate evaporation phenomena in a generic model of generalized
teleparallel gravity in Weitzenbock spacetime with diagonal and non-diagonal
tetrads basis. We also perform the perturbation analysis around the constant
torsion scalar solution named Nariai spacetime which is an exact solution of
field equations as the limiting case of the Schwarzschild-de Sitter and in the
limit where two back hole and their cosmological horizons coincide. By a
carefully analysis of the horizon perturbation equation, we show that
(anti)evaporation can not happen if we use a diagonal tetrad basis. This result
implies that a typical black hole in any generic form of generalized
teleparallel gravity is frozen in its initial state if we use the diagonal
tetrads. But in the case of non-diagonal tetrads the analysis is completely
different. By a suitable non trivial non-diagonal tetrad basis we investigate
the linear stability of the model under perturbations of the metric and torsion
simultaneously. We observe that in spite of the diagonal case, both evaporation
and anti evaporation can happen. The phenomena depend on the initial phase of
the horizon perturbation. In the first mode when we restrict ourselves to the
first lower modes the (anti)evaporation happens. So, in non-diagonal case the
physical phenomena is reasonable. This is an important advantage of using
non-diagonal tetrads instead of the diagonal ones. We also see that this is an
universal feature, completely independent from the form of the model.
