Cauchy horizon stability in self-similar collapse: scalar radiation

TL;DR

This paper investigates the stability of the Cauchy horizon in self-similar gravitational collapse by analyzing scalar radiation flux, finding it to be finite, which suggests potential stability.

Contribution

It provides a novel analysis of scalar radiation flux at the Cauchy horizon in self-similar collapse, indicating finite flux and implications for horizon stability.

Findings

Scalar radiation flux at the horizon is finite.

The finiteness of flux suggests potential horizon stability.

Analysis advances understanding of collapse dynamics.

Abstract

The stability of the Cauchy horizon in spherically symmetric self-similar collapse is studied by determining the flux of scalar radiation impinging on the horizon. This flux is found to be finite.