Singularity of spherically-symmetric spacetime in quintessence/phantom dark energy universe

Understand

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.