About: Linear perturbations of a Schwarzschild black hole by thin disc - convergence     Goto   Sponge   NotDistinct   Permalink

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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.
  • 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. (en)
Title
  • Linear perturbations of a Schwarzschild black hole by thin disc - convergence
  • Linear perturbations of a Schwarzschild black hole by thin disc - convergence (en)
skos:prefLabel
  • Linear perturbations of a Schwarzschild black hole by thin disc - convergence
  • Linear perturbations of a Schwarzschild black hole by thin disc - convergence (en)
skos:notation
  • RIV/00216208:11320/12:10132117!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
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  • P(GA202/09/0772), P(GD205/09/H033), S, Z(MSM0021620860)
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  • 147121
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  • RIV/00216208:11320/12:10132117
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  • accretion discs; perturbation techniques; black holes; general relativity (en)
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  • [7BBD08D928F5]
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  • Madrid, Španělsko
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  • MELVILLE
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  • AIP Conference Proceedings
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  • Semerák, Oldřich
  • Čížek, Pavel
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  • 000306830600032
http://linked.open.../riv/zahajeniAkce
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issn
  • 0094-243X
number of pages
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  • 10.1063/1.4734432
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  • AMER INST PHYSICS
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  • 978-0-7354-1060-2
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  • 11320
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