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The general relativistic thin disc evolution equation

Abstract:

In the classical theory of thin disc accretion discs, the constraints of mass and angular momentum conservation lead to a diffusion-like equation for the turbulent evolution of the surface density. Here, we revisit this problem, extending the Newtonian analysis to the regime of Kerr geometry relevant to black holes. A diffusion-like equation once again emerges, but now with a singularity at the radius at which the effective angular momentum gradient passes through zero. The equation may be an...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1093/mnras/stx1955

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Department:
New College
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Grant:
Wolfson Research Merit Award
Publisher:
Oxford University Press Publisher's website
Journal:
Monthly Notices of the Royal Astronomical Society Journal website
Volume:
471
Issue:
4
Pages:
4832-4838
Publication date:
2017-08-05
Acceptance date:
2017-07-27
DOI:
EISSN:
1365-2966
ISSN:
0035-8711
Pubs id:
pubs:730920
URN:
uri:50ec44c6-e00e-4050-ba29-69ca967d650c
UUID:
uuid:50ec44c6-e00e-4050-ba29-69ca967d650c
Local pid:
pubs:730920

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