Noncommutative Regge-Wheeler potential: some nonperturbative results
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915826536284160 |
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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 study the gravitational perturbation theory of black holes in noncommutative spacetimes with noncommutativity of the type $[t\stackrel{\star}{,} r] = i a αA(r)$ and $[φ\stackrel{\star}{,} r] = i a βA(r)$ for arbitrary $A(r)$, which includes several Moyal-type spaces and also the $κ$-Minkowski space. The main result of this paper is an analytical expression for the effective potential of the axial perturbation modes, valid to all orders in the noncommutativity parameter. This is achieved by evaluating the $\star$-products using translations in the radial direction, i.e., Bopp shift. We comment on various regimes, such as Planck-scale black holes, where the noncommutativity length scale is of the same order of magnitude as the black hole horizon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08125 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noncommutative Regge-Wheeler potential: some nonperturbative results Herceg, Nikola Jurić, Tajron Kumara, A. Naveena Samsarov, Andjelo Smolić, Ivica General Relativity and Quantum Cosmology High Energy Physics - Theory We study the gravitational perturbation theory of black holes in noncommutative spacetimes with noncommutativity of the type $[t\stackrel{\star}{,} r] = i a αA(r)$ and $[φ\stackrel{\star}{,} r] = i a βA(r)$ for arbitrary $A(r)$, which includes several Moyal-type spaces and also the $κ$-Minkowski space. The main result of this paper is an analytical expression for the effective potential of the axial perturbation modes, valid to all orders in the noncommutativity parameter. This is achieved by evaluating the $\star$-products using translations in the radial direction, i.e., Bopp shift. We comment on various regimes, such as Planck-scale black holes, where the noncommutativity length scale is of the same order of magnitude as the black hole horizon. |
| title | Noncommutative Regge-Wheeler potential: some nonperturbative results |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.08125 |