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

TL;DR

This paper investigates the singularities in spherically symmetric spacetimes within dark energy universes, showing that pressure and energy density diverge at finite radii, potentially destabilizing stars or black holes.

Contribution

It demonstrates the occurrence of finite-radius singularities in spherically symmetric dark energy models and discusses possible modifications to address these issues.

Findings

Pressure and energy density diverge at finite radius or center.

Finite-time singularities occur at specific parameter values.

Potential instability of stars or black holes in such universes.

Abstract

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.