On the improved dynamics approach in loop quantum black holes

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.
Comment: 3 figures and no tables. Version published in Commun. Theor. Phys. 76 (2024) 035401. arXiv admin note: text overlap with arXiv:2212.14535