On the improved dynamics approach in loop quantum black holes

Abstract

In this paper, we consider the Böhmer–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.