Divergence of the Quantum Stress Tensor on the Cauchy Horizon in 2-d Dust Collapse

TL;DR

This paper demonstrates that the quantum stress tensor diverges on the Cauchy horizon in two-dimensional models of dust collapse, highlighting potential quantum effects near black hole horizons.

Contribution

It provides a rigorous proof of divergence of the quantum stress tensor in 2D dust collapse models, extending understanding of quantum effects in gravitational collapse.

Findings

Quantum stress tensor diverges on the Cauchy horizon

Divergence occurs in both Tolman Bondi dust and Vaidya models

Results suggest quantum effects are significant near horizons

Abstract

We prove that the quantum stress tensor for a massless scalar field in two dimensional non-selfsimilar Tolman Bondi dust collapse and Vaidya radiation collapse models diverges on the Cauchy horizon, if the latter exists. The two dimensional model is obtained by suppressing angular co-ordinates in the corresponding four dimensional spherical model.