Singularity of spherically-symmetric spacetime in quintessence/phantom
  dark energy universe
  We consider ideal fluid and equivalent scalar field dark energy universes
where all four known types of finite-time, future singularities occur at some
parameter values. It is demonstrated that pressure/energy density of such
quintessence/phantom dark energy diverges in spherically-symmetric spacetime at
finite radius or at the center. This may cause the instability of the
relativistic star or black hole in such universe. The resolution of the problem
via the extra modification of the equation of state is briefly discussed.
