Back Reaction of 4D Conformal Fields on Static Geometry

TL;DR

This paper investigates how quantum effects of conformal fields influence static, spherically symmetric spacetimes, revealing that quantum backreaction significantly alters near-horizon geometry and requires fine-tuning for horizon existence.

Contribution

It provides a detailed analysis of quantum backreaction on static geometries, combining perturbative and non-perturbative methods to understand horizon formation.

Findings

Quantum effects significantly modify near-horizon geometry.

Horizon existence depends on fine-tuning of parameters.

Quantum backreaction can prevent horizon formation without fine-tuning.

Abstract

Static, spherically symmetric solutions to the semi-classical Einstein equation are studied, including the effect of the quantum energy-momentum tensor for conformal matters with 4D Weyl anomaly. Through both perturbative and non-perturbative methods, we show that the quantum effect can play a crucial role in shaping the near-horizon geometry, and that the existence of the horizon requires fine-tuning.