A Monte Carlo approach to stationary kinetic disks in the Kerr spacetime
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908722075271168 |
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| author | Khan, Ghafran Mach, Patryk |
| author_facet | Khan, Ghafran Mach, Patryk |
| contents | We extend a recently proposed Monte Carlo scheme for computing stationary solutions of the general-relativistic Vlasov equation to the Kerr spacetime. As an example, we focus on razor-thin configurations of a gas confined to the equatorial plane and extending to spatial infinity. We consider monoenergetic models as well as solutions corresponding to planar Maxwell-Jüttner distributions at infinity. In both cases, the components of the particle current surface density are recovered within the proposed Monte Carlo framework. Some aspects of razor-thin kinetic disk models, including an analysis of the bulk angular momentum and angular velocity, are briefly covered. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_17346 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Monte Carlo approach to stationary kinetic disks in the Kerr spacetime Khan, Ghafran Mach, Patryk General Relativity and Quantum Cosmology We extend a recently proposed Monte Carlo scheme for computing stationary solutions of the general-relativistic Vlasov equation to the Kerr spacetime. As an example, we focus on razor-thin configurations of a gas confined to the equatorial plane and extending to spatial infinity. We consider monoenergetic models as well as solutions corresponding to planar Maxwell-Jüttner distributions at infinity. In both cases, the components of the particle current surface density are recovered within the proposed Monte Carlo framework. Some aspects of razor-thin kinetic disk models, including an analysis of the bulk angular momentum and angular velocity, are briefly covered. |
| title | A Monte Carlo approach to stationary kinetic disks in the Kerr spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.17346 |