Perturbation of a Schwarzschild Black Hole Due to a Rotating Thin Disk
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10370255" target="_blank" >RIV/00216208:11320/17:10370255 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3847/1538-4365/aa876b" target="_blank" >http://dx.doi.org/10.3847/1538-4365/aa876b</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3847/1538-4365/aa876b" target="_blank" >10.3847/1538-4365/aa876b</a>
Alternative languages
Result language
angličtina
Original language name
Perturbation of a Schwarzschild Black Hole Due to a Rotating Thin Disk
Original language description
Will, in 1974, treated the perturbation of a Schwarzschild black hole due to a slowly rotating, light, concentric thin ring by solving the perturbation equations in terms of a multipole expansion of the mass-and-rotation perturbation series. In the Schwarzschild background, his approach can be generalized to perturbation by a thin disk (which is more relevant astrophysically), but, due to rather bad convergence properties, the resulting expansions are not suitable for specific (numerical) computations. However, we show that Green's functions, represented by Will's result, can be expressed in closed form (without multipole expansion), which is more useful. In particular, they can be integrated out over the source (a thin disk in our case) to yield good converging series both for the gravitational potential and for the dragging angular velocity. The procedure is demonstrated, in the first perturbation order, on the simplest case of a constant-density disk, including the physical interpretation of the results in terms of a one-component perfect fluid or a two-component dust in a circular orbit about the central black hole. Free parameters are chosen in such a way that the resulting black hole has zero angular momentum but non-zero angular velocity, as it is just carried along by the dragging effect of the disk.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GA17-13525S" target="_blank" >GA17-13525S: Sources of strong gravity and their astrophysical meaning</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Astrophysical Journal, Supplement Series
ISSN
0067-0049
e-ISSN
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Volume of the periodical
232
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
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UT code for WoS article
000410941000003
EID of the result in the Scopus database
2-s2.0-85030172589