# Scalar Field Collapse with an exponential potential

## TL;DR

This paper analytically studies scalar field collapse with an exponential potential, deriving exact solutions, matching exterior geometry, and analyzing singularity visibility, revealing conditions for black hole formation.

## Contribution

It provides an exact analytical model of scalar field collapse with exponential potential and examines the conditions for horizon formation and singularity visibility.

## Key findings

- Collapse leads to finite-time curvature singularity.
- Singularities are hidden by apparent horizons in some cases.
- Exact solutions facilitate understanding of scalar field collapse dynamics.

## Abstract

An analogue of the Oppenheimer-Synder collapsing model is treated analytically, where the matter source is a scalar field with an exponential potential. An exact solution is derived followed by matching to a suitable exterior geometry, and an analysis of the visibility of the singularity. In some situations, the collapse indeed leads to a finite time curvature singularity, which is always hidden from the exterior by an apparent horizon.