Visualisation of counter-rotating dust disks using ray tracing methods
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913202791514112 |
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| author | de Leon, Eddy B. Frauendiener, J. Klein, C. |
| author_facet | de Leon, Eddy B. Frauendiener, J. Klein, C. |
| contents | A detailed study of ray tracing in the space-time generated by a disk of counter-rotating dust is presented. The space-time is given in explicit form in terms of hyperelliptic theta functions. The numerical approach to ray tracing is set up for general stationary axisymmetric space-times and tested at the well-studied example of the Kerr solution. Similar features as in the case of a rotating black hole, are explored in the case of a dust disk.
The effect of the central redshift varying between a Newtonian disk and the ultrarelativistic disk, where the exterior of the disk can be interpreted as the extreme Kerr solution, and the transition from a single component disk to a static disk is explored. Frame dragging, as well as photon spheres, are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11498 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Visualisation of counter-rotating dust disks using ray tracing methods de Leon, Eddy B. Frauendiener, J. Klein, C. General Relativity and Quantum Cosmology Exactly Solvable and Integrable Systems A detailed study of ray tracing in the space-time generated by a disk of counter-rotating dust is presented. The space-time is given in explicit form in terms of hyperelliptic theta functions. The numerical approach to ray tracing is set up for general stationary axisymmetric space-times and tested at the well-studied example of the Kerr solution. Similar features as in the case of a rotating black hole, are explored in the case of a dust disk. The effect of the central redshift varying between a Newtonian disk and the ultrarelativistic disk, where the exterior of the disk can be interpreted as the extreme Kerr solution, and the transition from a single component disk to a static disk is explored. Frame dragging, as well as photon spheres, are discussed. |
| title | Visualisation of counter-rotating dust disks using ray tracing methods |
| topic | General Relativity and Quantum Cosmology Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2401.11498 |