Asymptotic Green’s function solutions of the general relativistic thin disc equations

Journal article

Abstract:: 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 a 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.

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Publisher:: Oxford University Press
Journal:: Monthly Notices of the Royal Astronomical Society More from this journal
Volume:: 518
Issue:: 2
Pages:: 1905-1916
Publication date:: 2022-10-06
Acceptance date:: 2022-09-30
DOI:: 10.1093/mnras/stac2846
EISSN:: 1365-2966
ISSN:: 0035-8711

Copyright holder:: Mummery
Rights statement:: ©2022 The Author(s). Published by Oxford University Press on behalf of Royal Astronomical Society. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

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