Oscillations of Static Discs around Schwarzschild Black Holes: Effect of Self-Gravitation

Semer??k Old??ich; ??????ek Miroslav

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Oscillations of Static Discs around Schwarzschild Black Holes: Effect of Self-Gravitation

机译：Schwarzschild黑洞周围的静盘振动：自重的影响

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Theoscillationsofaccretion-discmatteraboutroughlycircularmotionmayproduceaquasi-periodicvariationintheobservedsignal(Ipser1996,AAA65.067.047).Theywerestudiedtheoreticallyonnon-gravitating,testdiscs,inapseudo-Newtonianmanneraswellasingeneralrelativity,bothinstaticandinstationaryfields.Thepresentpapershowshowtheradialprofilesofoscillationfrequenciescanbemodifiedbytheself-gravityofthedisc.ExactsuperpositionsofaSchwarzschildblackholewiththeLemosandLetelier(1994,AAA61.067.077)annulardiscs(staticthindiscsobtainedbyinversionofthefirstMorgan-Morgansolution)areconsideredtobesimple(static)modelsofanaccretionsystem.BoththeepicyclicandperpendicularfrequenciesareplottedagainsttheSchwarzschildradius,thecircumferentialradius,andtheproperdistancefromthehorizon.Thecurvesindicatethatintheinnermostpartsmoremassivediscsaremorestablewithrespecttohorizontalperturbations,whereastheyarelessstablewithrespecttoverticalperturbations.Inthecaseofasequenceofdiscsinterpretableascounter-rotatingparticlesonstabletime-likecirculargeodesicsandhavingtheirinnerrimsjustonmarginallystablecircularorbits,oscillationsoftheinnerpartsgetfasterwithincreasingdiscmass;themaximumoftheepicyclicfrequency,importantfortrappingofthelow-frequencymodesneartheinnerradius,movestosmallerradiiandbecomessomewhathigher.

机译：Theoscillationsofaccretion-discmatteraboutroughlycircularmotionmayproduceaquasi-periodicvariationintheobservedsignal（Ipser1996，AAA65.067.047）.Theywerestudiedtheoreticallyonnon-引力，testdiscs，inapseudo-Newtonianmanneraswellasingeneralrelativity，bothinstaticandinstationaryfields.Thepresentpapershowshowtheradialprofilesofoscillationfrequenciescanbemodifiedbytheself-gravityofthedisc.ExactsuperpositionsofaSchwarzschildblackholewiththeLemosandLetelier（1994，AAA61.067.077）annulardiscs（staticthindiscsobtainedbyinversionofthefirstMorgan-Morgansolution）areconsideredtobesimple（静态）modelsofanaccretionsystem.BoththeepicyclicandperpendicularfrequenciesareplottedagainsttheSchwarzschildradius曲线表明，在更大的范围内，更大的圆盘在水平扰动方面更稳定，而对于横向扰动则更不稳定。像圆形大地测量学，其内缘刚好处于稳定的圆形轨道上，内圆的软振动就越来越快，并且越来越不均匀;重要的是，最大的循环频率，靠近内半径的低频模式的努力，向较小的半径移动就变得更高。

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《PASJ: Publications of the Astronomical Society of Japan》 |2000年第6期|共页
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Semer??k Old??ich; ??????ek Miroslav;
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7. Oscillations of Static Discs around Schwarzschild Black Holes: Effect of Self-Gravitation [O] . Oldřich Semerák, Miroslav Žáček 2000

机译：Schwarzschild黑洞周围静态光盘的振动：自我引用的影响

Oscillations of Static Discs around Schwarzschild Black Holes: Effect of Self-Gravitation

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