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Excitation of Trapped g-Mode Oscillations in Warped Disks around Black Holes

机译:激发黑洞周围翘曲盘中的陷陷g模振荡

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Inordertostudytheoriginofhigh-frequencyquasi-periodicoscillationsobservedinX-raybinaries,Kato(2004)suggestedaresonantexcitationmechanismofdiskoscillationsindeformeddisks.Inthispaper,weinvestigatenumerically,followinghisformulation,whethertrappedg-modeoscillationsinawarpeddisk,wherethewarpamplitudevarieswiththeradius,canbeexcitedbythismechanism.Forsimplicity,weadoptNewtonianhydrodynamicequationswithrelativisticexpressionsforthecharacteristicfrequenciesofdisks.Wealsoassumethattheaccretiondiskisisothermal.Wefindthatthefundamentalmodesoftrappedg-modeoscillationswitheigenfrequenciesclosetothemaximumofepicyclicfrequencyareexcited.Theintermediateoscillationsfoundareisolatedinanarrowregionaroundtheresonanceradius.Aftervaryingsomeparameters,wefindthatthegrowthrateincreasesasthewarpamplitudeortheblack-holespinparameterincreases,whileitdecreasesasthesoundspeedincreases.
机译:Inordertostudytheoriginofhigh-frequencyquasi-periodicoscillationsobservedinX-raybinaries,加藤(2004)suggestedaresonantexcitationmechanismofdiskoscillationsindeformeddisks.Inthispaper,weinvestigatenumerically,followinghisformulation,whethertrappedg-modeoscillationsinawarpeddisk,wherethewarpamplitudevarieswiththeradius,canbeexcitedbythismechanism.Forsimplicity,weadoptNewtonianhydrodynamicequationswithrelativisticexpressionsforthecharacteristicfrequenciesofdisks.Wealsoassumethattheaccretiondiskisisothermal.Wefindthatthefundamentalmodesoftrappedg-modeoscillationswitheigenfrequenciesclosetothemaximumofepicyclicfrequencyareexcited.Theintermediateoscillationsfoundareisolatedinanarrowregionaroundtheresonanceradius.Aftervaryingsomeparameters,wefindthatthegrowthrateincreasesasthewarpamplitudeortheblack-holespinparameterincreases,whileitdecreasesasthesoundspeedincreases。

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