Scalar field collapse in a conformally flat spacetime

TL;DR

This paper studies scalar field collapse in conformally flat spacetime, showing conditions for singularity formation and horizon covering, using integrability theorems and numerical analysis for complex potentials.

Contribution

It applies anharmonic oscillator integrability to scalar field collapse and explores singularity and horizon formation for various potentials.

Findings

Central singularity forms for certain potential powers.

Apparent horizon covers the singularity when n>0 or n<-3.

Numerical results for mixed power potentials are presented.

Abstract

The collapse scenario of a scalar field along with a perfect fluid distribution is investigated for a conformally flat spacetime. The theorem for the integrability of an anharmonic oscillator has been utilized. For a pure power law potential of the form ${\phi}^{n+1}$, it is found that a central singularity is formed which is covered by an apparent horizon for $n>0$ and $n<-3$. Some numerical results have also been presented for a combination of two different powers of $\phi$ in the potential.