On the improved dynamics approach in loop quantum black holes

Abstract

In this brief communication, 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. In this paper, 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.