Asymptotic Green’s function solutions of the general relativistic thin disc equations
The leading order Green’s function solutions of the general relativistic thin disc equations are computed, using a pseudo-Newtonian potential and asymptotic Laplace mode matching techniques. This solution, valid for a vanishing innermost stable circular orbit (ISCO) stress, is constructed by ensurin...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Oxford University Press
2022
|
| _version_ | 1826309914834763776 |
|---|---|
| author | Mummery, A |
| author_facet | Mummery, A |
| author_sort | Mummery, A |
| collection | OXFORD |
| description | The leading order Green’s function solutions of the general relativistic thin disc equations are computed, using a pseudo-Newtonian potential and asymptotic Laplace mode matching techniques. This solution, valid for a vanishing innermost stable circular orbit (ISCO) stress, is constructed by ensuring that it reproduces the leading order asymptotic behaviour of the near-ISCO, Newtonian, and global Wentzel–Kramers–Brillouin limits. Despite the simplifications used in constructing this solution, it is typically accurate, for all values of the Kerr spin parameter <i>a</i> and at all radii, to less than a per cent of the full numerically calculated solutions of the general relativistic disc equations. These solutions will be of use in studying time-dependent accretion discs surrounding Kerr black holes. |
| first_indexed | 2024-03-07T07:42:52Z |
| format | Journal article |
| id | oxford-uuid:b1466f26-ee46-4338-a6f2-1d32eaf4b1cf |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:42:52Z |
| publishDate | 2022 |
| publisher | Oxford University Press |
| record_format | dspace |
| spelling | oxford-uuid:b1466f26-ee46-4338-a6f2-1d32eaf4b1cf2023-05-11T10:58:05ZAsymptotic Green’s function solutions of the general relativistic thin disc equationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b1466f26-ee46-4338-a6f2-1d32eaf4b1cfEnglishSymplectic ElementsOxford University Press2022Mummery, AThe leading order Green’s function solutions of the general relativistic thin disc equations are computed, using a pseudo-Newtonian potential and asymptotic Laplace mode matching techniques. This solution, valid for a vanishing innermost stable circular orbit (ISCO) stress, is constructed by ensuring that it reproduces the leading order asymptotic behaviour of the near-ISCO, Newtonian, and global Wentzel–Kramers–Brillouin limits. Despite the simplifications used in constructing this solution, it is typically accurate, for all values of the Kerr spin parameter <i>a</i> and at all radii, to less than a per cent of the full numerically calculated solutions of the general relativistic disc equations. These solutions will be of use in studying time-dependent accretion discs surrounding Kerr black holes. |
| spellingShingle | Mummery, A Asymptotic Green’s function solutions of the general relativistic thin disc equations |
| title | Asymptotic Green’s function solutions of the general relativistic thin disc equations |
| title_full | Asymptotic Green’s function solutions of the general relativistic thin disc equations |
| title_fullStr | Asymptotic Green’s function solutions of the general relativistic thin disc equations |
| title_full_unstemmed | Asymptotic Green’s function solutions of the general relativistic thin disc equations |
| title_short | Asymptotic Green’s function solutions of the general relativistic thin disc equations |
| title_sort | asymptotic green s function solutions of the general relativistic thin disc equations |
| work_keys_str_mv | AT mummerya asymptoticgreensfunctionsolutionsofthegeneralrelativisticthindiscequations |