Properties of an axisymmetric Lorentzian non-commutative black hole
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913635776856064 |
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| author | Filho, A. A. Araújo Nascimento, J. R. Petrov, A. Yu. Porfírio, P. J. Övgün, Ali |
| author_facet | Filho, A. A. Araújo Nascimento, J. R. Petrov, A. Yu. Porfírio, P. J. Övgün, Ali |
| contents | In this work, we start by examining a spherically symmetric black hole within the framework of non-commutative geometry and apply a modified Newman-Janis method to obtain a new rotating solution. We then investigate its consequences, focusing on the horizon structure, ergospheres, and the black hole's angular velocity. Following this, a detailed thermodynamic analysis is performed, covering surface gravity, Hawking temperature, entropy, and heat capacity. We also study geodesic motion, with particular emphasis on null geodesics and their associated radial accelerations. Additionally, the photon sphere and the resulting black hole shadows are explored. Finally, we compute the quasinormal modes for scalar perturbations using the 6th-order WKB approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Properties of an axisymmetric Lorentzian non-commutative black hole Filho, A. A. Araújo Nascimento, J. R. Petrov, A. Yu. Porfírio, P. J. Övgün, Ali General Relativity and Quantum Cosmology High Energy Physics - Theory In this work, we start by examining a spherically symmetric black hole within the framework of non-commutative geometry and apply a modified Newman-Janis method to obtain a new rotating solution. We then investigate its consequences, focusing on the horizon structure, ergospheres, and the black hole's angular velocity. Following this, a detailed thermodynamic analysis is performed, covering surface gravity, Hawking temperature, entropy, and heat capacity. We also study geodesic motion, with particular emphasis on null geodesics and their associated radial accelerations. Additionally, the photon sphere and the resulting black hole shadows are explored. Finally, we compute the quasinormal modes for scalar perturbations using the 6th-order WKB approximation. |
| title | Properties of an axisymmetric Lorentzian non-commutative black hole |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.04674 |