On the improved dynamics approach in loop quantum black holes

TL;DR

This paper analyzes the B"ohmer-Vandersloot model of loop quantum black holes using the improved dynamics approach, revealing a geodesically complete spacetime with no horizons but multiple transition surfaces separating trapped regions.

Contribution

It demonstrates that in the BV model with the Saini-Singh gauge, the spacetime is geodesically complete and lacks horizons, introducing a new understanding of quantum black hole structure.

Findings

No black/white hole horizons in the model

Existence of infinite transition surfaces

Separation of trapped and anti-trapped regions

Abstract

In this paper, we consider the B\"ohmer-Vandersloot (BV) model of loop quantum black holes obtained from the improved dynamics approach. We adopt the Saini-Singh gauge, in which it was found analytically that the BV spacetime is geodesically complete. We show that black/white hole horizons do not exist in this geodesically complete spacetime. Instead, there exists only an infinite number of transition surfaces, which always separate trapped regions from anti-trapped ones. Comments on the improved dynamics approach adopted in other models of loop quantum black holes are also given.