Spherically symmetric collapsing star with the background of dark energy

Abstract

In this work, we studied the gravitational collapse of a spherically symmetric radiating star consisting of perfect fluid (baryonic) in the background of dark energy (DE) with an equation of state [Formula: see text]. The effect of DE on the singularity formation has been discussed in two separate cases: first when only DE is present, and the other, with a combination of both baryonic and DE interaction. We have shown that DE component [Formula: see text] plays an important role in the formation of black hole (BH). In some cases, the collapse of radiating stars leads to BH formation, and in other cases, it forms naked-singularity (or, eternally collapse). This study is in itself a significant work to describe the effect of DE on singularity formation in radiating stars.