On the Gravitational Angular Momentum of Axial Perturbations of a Regular Black Hole
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917524819410944 |
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| author | Ulhoa, S. C. Carneiro, F. L. Carneiro, B. C. C. |
| author_facet | Ulhoa, S. C. Carneiro, F. L. Carneiro, B. C. C. |
| contents | This Letter deals with the gravitational angular momentum carried by axial (odd-parity) perturbations of the Bardeen regular black hole within the teleparallel equivalent of general relativity (TEGR). Using the Hamiltonian definition of conserved quantities in TEGR, we derive a closed expression for the perturbative angular momentum $δJ$ in terms of the axial perturbation function $h_0(r,t)$. The result exhibits a sharp multipolar selection rule: $δJ$ vanishes for odd values of the multipole index $\ell$, while even-$\ell$ modes yield a nonzero contribution. The radial and temporal behavior of $δJ$ is illustrated using the known axial quasinormal modes of the Bardeen spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23711 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Gravitational Angular Momentum of Axial Perturbations of a Regular Black Hole Ulhoa, S. C. Carneiro, F. L. Carneiro, B. C. C. General Relativity and Quantum Cosmology This Letter deals with the gravitational angular momentum carried by axial (odd-parity) perturbations of the Bardeen regular black hole within the teleparallel equivalent of general relativity (TEGR). Using the Hamiltonian definition of conserved quantities in TEGR, we derive a closed expression for the perturbative angular momentum $δJ$ in terms of the axial perturbation function $h_0(r,t)$. The result exhibits a sharp multipolar selection rule: $δJ$ vanishes for odd values of the multipole index $\ell$, while even-$\ell$ modes yield a nonzero contribution. The radial and temporal behavior of $δJ$ is illustrated using the known axial quasinormal modes of the Bardeen spacetime. |
| title | On the Gravitational Angular Momentum of Axial Perturbations of a Regular Black Hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.23711 |