Linear perturbations of a Schwarzschild black hole by thin disc - convergence

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10132117" target="_blank" >RIV/00216208:11320/12:10132117 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4734432" target="_blank" >http://dx.doi.org/10.1063/1.4734432</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4734432" target="_blank" >10.1063/1.4734432</a>

Result language
angličtina
Original language name
Linear perturbations of a Schwarzschild black hole by thin disc - convergence
Original language description
In order to find the perturbation of a Schwarzschild space-time due to a rotating thin disc, we try to adjust the method used by [4] in the case of perturbation by a one-dimensional ring. This involves solution of stationary axisymmetric Einstein's equations in terms of spherical-harmonic expansions whose convergence however turned out questionable in numerical examples. Here we show, analytically, that the series are almost everywhere convergent, but in some regions the convergence is not absolute.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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