Quasiclassical solutions for static quantum black holes

TL;DR

This paper introduces a quasiclassical approach to quantum gravity that incorporates quantum fluctuations as additional coupled fields, providing new insights into near-horizon and asymptotic quantum effects in static black hole solutions.

Contribution

It develops a systematic quasiclassical framework for constrained gravitational systems, including non-local quantum corrections via coupled fluctuation fields, and constructs tractable static solutions.

Findings

Derived static solutions revealing quantum near-horizon effects

Demonstrated consistency of the quasiclassical formalism

Identified new properties of quantum corrections in black hole spacetimes

Abstract

A new form of quasiclassical space-time dynamics for constrained systems reveals how quantum effects can be derived systematically from canonical quantization of gravitational systems. These quasiclassical methods lead to additional fields, representing quantum fluctuations and higher moments, that are coupled to the classical metric components. The new fields describe non-adiabatic quantum dynamics and can be interpreted as implicit formulations of non-local quantum corrections in a field theory. This field-theory aspect is studied here for the first time, applied to a gravitational system for which a tractable model is constructed. Static solutions for the relevant fields can be obtained in almost closed form. They reveal new properties of potential near-horizon and asymptotic effects in canonical quantum gravity and demonstrate the overall consistency of the formalism.