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On the improved dynamics approach in loop quantum black holes

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arxiv 2308.15574 v3 pith:EERIMOYK submitted 2023-08-29 gr-qc

classification gr-qc
keywords blackapproachdynamicsholesimprovedloopquantumcomplete
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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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  1. Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant

    gr-qc 2025-02 accept novelty 6.0 of 10

    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.

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