  It is well known that the field equations of teleparallel theory which is
equivalent to general relativity (TEGR) completely agree with the field
equation of general relativity (GR). However, TEGR has six extra degrees of
freedom which spoil the true physics. These extra degrees are related to the
local Lorentz transformation. In this study, we give three different tetrads of
flat horizon space-time that depend only on the radial coordinate. One of these
tetrads contains an arbitrary function which comes from local Lorentz
transformation. We show by explicate calculations that this arbitrary function
spoils the calculations of the conserved charges. We formulate {\it a
skew-symmetric tensor} whose vanishing value put a constraint on the arbitrary
function. This constraint makes the conserved charges are free from the
arbitrary function.
