# Asymptotic non-flatness of an effective black hole model based on loop quantum gravity

## TL;DR

This paper investigates the asymptotic structure of a loop quantum gravity-based black hole model and finds it does not approach flat spacetime at infinity, raising questions about its classical limit consistency.

## Contribution

It demonstrates that the proposed quantum black hole model is not asymptotically flat due to quantum parameters, challenging its viability.

## Key findings

- The model is not asymptotically flat.
- Quantum parameters cause deviation from classical spacetime.
- Raises concerns about the model's classical limit.

## Abstract

For any non-rotating effective quantum (uncharged) black hole model to be viable, its asymptotic structure of spacetime should reduce to that of a Schwarzschild black hole. After examining the asymptotic structure of quantum black holes proposed in Ashtekar et al., (2018), we find that the solution is actually not asymptotically flat. Departure from asymptotically flat spacetime is a direct consequence of the quantum parameters included in the model. Moreover, since the property of asymptotic flatness needs to be explicitly invoked, for instance, in relating the black hole and the white hole masses, it thereby raises a serious concern about the consistency of this model in view of the classical limit1.