Genericity of blackhole formation in the gravitational collapse of homogeneous self-interacting scalar fields

TL;DR

This paper demonstrates that in a broad class of homogeneous self-interacting scalar field models, gravitational collapse typically leads to black hole formation, with implications for modeling radiating stars.

Contribution

It establishes the genericity of black hole formation in scalar field collapse models characterized by general potential conditions.

Findings

Collapse is always finite-time divergent in the studied class.

Black holes are generically formed in the constructed models.

The results apply to models with polynomial and exponential potentials.

Abstract

The gravitational collapse of a wide class of self-interacting homogeneous scalar fields models is analyzed. The class is characterized by certain general conditions on the scalar field potential, which, in particular, include both asymptotically polynomial and exponential behaviors. Within this class, we show that the generic evolution is always divergent in a finite time, and then make use of this result to construct radiating star models of the Vaidya type. It turns out that blackholes are generically formed in such models.