Effects of quantized fields on the spacetime geometries of static spherically symmetric black holes

TL;DR

This paper investigates how quantized fields influence the spacetime structure of static, spherically symmetric black holes, addressing potential divergences in stress-energy predictions and their effects on the horizon geometry.

Contribution

It introduces a new finite analytic approximation for conformally invariant fields and explores stress-energy effects in various black hole spacetimes, advancing understanding of quantum backreaction.

Findings

Finite stress-energy approximation on the horizon for conformally invariant fields

Stress-energy effects in Schwarzschild-de Sitter black holes analyzed

Insights into quantum effects near zero temperature black hole horizons

Abstract

Analytic approximations for the stress-energy of quantized fields in the Hartle-Hawking state in static black hole spacetimes predict divergences on the event horizon of the black hole for a number of important cases. Such divergences, if real, could substantially alter the spacetime geometry near the event horizon, possibly preventing the black hole from existing. The results of three investigations of these types of effects are presented. The first involves a new analytic approximation for conformally invariant fields in Reissner-Nordstrom spacetimes which is finite on the horizon. The second focuses on the stress-energy of massless scalar fields in Schwarzschild-de Sitter black holes. The third focuses on the stress-energy of massless scalar fields in zero temperature black hole geometries that could be solutions to the semiclassical backreaction equations near the event horizon of the black hole.