Constant-polymerization loop quantization of Schwarzschild-de Sitter in Kantowski-Sachs gauge generates a spurious low-curvature black hole horizon, while Schwarzschild-anti-de Sitter does not.
On the improved dynamics approach in loop quantum black holes
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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.
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Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
Constant-polymerization loop quantization of Schwarzschild-de Sitter in Kantowski-Sachs gauge generates a spurious low-curvature black hole horizon, while Schwarzschild-anti-de Sitter does not.