  Solutions with anti-D3 branes in a Klebanov-Strassler geometry with positive
charge dissolved in fluxes have a certain singularity corresponding to a
diverging energy density of the RR and NS-NS three-form fluxes. There are many
hopes and arguments for and against this singularity, and we attempt to settle
the issue by examining whether this singularity can be cloaked by a regular
event horizon. This is equivalent to the existence of asymptotically
Klebanov-Tseytlin or Klebanov-Strassler black holes whose charge measured at
the horizon has the opposite sign to the asymptotic charge. We find that no
such KT solution exists. Furthermore, for a large class of KS black holes we
considered, the charge at the horizon must also have the same sign as the
asymptotic charge, and is completely determined by the temperature, the number
of fractional branes and the gaugino masses of the dual gauge theory. Our
result suggests that antibrane singularities in backgrounds with charge in the
fluxes are unphysical, which in turn raises the question as to whether
antibranes can be used to uplift AdS vacua to deSitter ones. Our results also
point out to a possible instability mechanism for the antibranes.
