A generalized uncertainty-inspired quantum black hole
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917897418309632 |
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| author | Fragomeno, Federica Gingrich, Douglas M. Hergott, Samantha Rastgoo, Saeed Vienneau, Evan |
| author_facet | Fragomeno, Federica Gingrich, Douglas M. Hergott, Samantha Rastgoo, Saeed Vienneau, Evan |
| contents | We derive the full spacetime metric of a generalized uncertainty-inspired quantum black hole. We examine a previous model of the interior in this approach and show that extending its metric to the full spacetime leads to serious issues in the asymptotic region. To remedy this, we introduce an ``improved scheme'' mimicking a similar prescription used in loop quantum gravity, where the quantum parameters are made momentum-dependent. Under this scheme, we rework the interior of the black hole and extend it to the full spacetime. We find that the resulting metric is asymptotically flat and its associated Kretschmann scalar is regular everywhere. We also show that the null expansion and Raychaudhuri equation are regular everywhere in this spacetime, implying that the classical singularity is resolved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03909 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A generalized uncertainty-inspired quantum black hole Fragomeno, Federica Gingrich, Douglas M. Hergott, Samantha Rastgoo, Saeed Vienneau, Evan General Relativity and Quantum Cosmology High Energy Physics - Theory We derive the full spacetime metric of a generalized uncertainty-inspired quantum black hole. We examine a previous model of the interior in this approach and show that extending its metric to the full spacetime leads to serious issues in the asymptotic region. To remedy this, we introduce an ``improved scheme'' mimicking a similar prescription used in loop quantum gravity, where the quantum parameters are made momentum-dependent. Under this scheme, we rework the interior of the black hole and extend it to the full spacetime. We find that the resulting metric is asymptotically flat and its associated Kretschmann scalar is regular everywhere. We also show that the null expansion and Raychaudhuri equation are regular everywhere in this spacetime, implying that the classical singularity is resolved. |
| title | A generalized uncertainty-inspired quantum black hole |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.03909 |