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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.15702 |
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| _version_ | 1866911219611336704 |
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| author | Xi, Zihan Wu, Chen Guo, Wenjun |
| author_facet | Xi, Zihan Wu, Chen Guo, Wenjun |
| contents | This paper explores the metric of Piero Nicolini's noncommutative black hole spacetime, calculates its effective potential, and presents the corresponding potential curve. By analyzing this curve, we identify various orbit types for test particles and photons in this spacetime. Using the dynamical equations for particles and photons near the black hole, we plot the specific time-like and null geodesic structures. We analyze the impact of different values of the total mass of the source $M$ and angular momentum $L$ on time-like geodesics. Our results indicate that in the Piero black hole spacetime, increases in total mass and angular momentum reduce the perihelion precession rate of the orbit. Notably, the effect of total mass is nonlinear, while the effect of angular momentum is linear. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_15702 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geodesic structure of a noncommutative black hole Xi, Zihan Wu, Chen Guo, Wenjun General Relativity and Quantum Cosmology This paper explores the metric of Piero Nicolini's noncommutative black hole spacetime, calculates its effective potential, and presents the corresponding potential curve. By analyzing this curve, we identify various orbit types for test particles and photons in this spacetime. Using the dynamical equations for particles and photons near the black hole, we plot the specific time-like and null geodesic structures. We analyze the impact of different values of the total mass of the source $M$ and angular momentum $L$ on time-like geodesics. Our results indicate that in the Piero black hole spacetime, increases in total mass and angular momentum reduce the perihelion precession rate of the orbit. Notably, the effect of total mass is nonlinear, while the effect of angular momentum is linear. |
| title | Geodesic structure of a noncommutative black hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.15702 |