Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
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| Format: | Preprint |
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2025
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| _version_ | 1866916703344001024 |
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| author | Ongole, Geeth Singh, Parampreet Wang, Anzhong |
| author_facet | Ongole, Geeth Singh, Parampreet Wang, Anzhong |
| contents | Loop quantization of Schwarzschild black holes with a cosmological constant for polymerization parameters which are constant is studied in the effective spacetime description. We show that for the positive cosmological constant there can be an appearance of large quantum effects at small spacetime curvatures. These effects can manifest as an additional black hole horizon. While the central singularity is resolved in all the cases, these limitations demonstrate incompatibility of the Kantowski-Sachs gauge and schemes with fixed polymerization parameters in the presence of a positive cosmological constant. In contrast, the case of a negative cosmological constant is free of such problematic features. Noted limitations are similar to those in the $μ_o$ scheme for the loop quantization of cosmological models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_09718 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant Ongole, Geeth Singh, Parampreet Wang, Anzhong General Relativity and Quantum Cosmology Mathematical Physics Loop quantization of Schwarzschild black holes with a cosmological constant for polymerization parameters which are constant is studied in the effective spacetime description. We show that for the positive cosmological constant there can be an appearance of large quantum effects at small spacetime curvatures. These effects can manifest as an additional black hole horizon. While the central singularity is resolved in all the cases, these limitations demonstrate incompatibility of the Kantowski-Sachs gauge and schemes with fixed polymerization parameters in the presence of a positive cosmological constant. In contrast, the case of a negative cosmological constant is free of such problematic features. Noted limitations are similar to those in the $μ_o$ scheme for the loop quantization of cosmological models. |
| title | Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2502.09718 |