Near-horizon aspects of black holes in quantum spacetime
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916417139376128 |
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| author | Herceg, Nikola Jurić, Tajron Kumara, A. Naveena Samsarov, Andjelo Smolić, Ivica |
| author_facet | Herceg, Nikola Jurić, Tajron Kumara, A. Naveena Samsarov, Andjelo Smolić, Ivica |
| contents | We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime. Special attention is given to quantum spacetime arising from $r - φ$ noncommutativity. Tortoise coordinate and near-horizon regions of the effective potentials are analyzed for both polar and axial modes. By carefully examining the associated Schrödinger-type equations, we provide the asymptotic solutions at the horizon and illustrate some differences between the polar and axial modes. These findings give further insight into the polar-axial isospectrality violation in the presence of the quantum structure of spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00088 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Near-horizon aspects of black holes in quantum spacetime Herceg, Nikola Jurić, Tajron Kumara, A. Naveena Samsarov, Andjelo Smolić, Ivica General Relativity and Quantum Cosmology We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime. Special attention is given to quantum spacetime arising from $r - φ$ noncommutativity. Tortoise coordinate and near-horizon regions of the effective potentials are analyzed for both polar and axial modes. By carefully examining the associated Schrödinger-type equations, we provide the asymptotic solutions at the horizon and illustrate some differences between the polar and axial modes. These findings give further insight into the polar-axial isospectrality violation in the presence of the quantum structure of spacetime. |
| title | Near-horizon aspects of black holes in quantum spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2410.00088 |