Introduction |
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1 Hydrodynamical LimitClassical Problems of Accretion and Ejection |
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1.1 Astrophysical IntroductionAccretion onto Compact Objects |
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1.2 Main Properties of Transonic Hydrodynamical Flows |
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1.2.2 Spherically Symmetric Flow |
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1.2.3 Potential Plane Flow |
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1.3 Nonrelativistic Axisymmetric Stationary Flows |
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1.3.2 Mathematical Intermezzothe Covariant Approach |
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1.3.3 Two-Dimensional Flow Structure |
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1.3.4 BondiHoyle Accretion |
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1.3.5 Outflow from a Slowly Rotating Star |
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1.4 Axisymmetric Stationary Flows in the Vicinity of a Black Hole |
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1.4.1 Physical Intermezzo(3 1)-Splitting in the Kerr Metric |
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1.4.4 BondiHoyle AccretionThe Relativistic Regime |
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1.4.5 Accretion onto a Slowly Rotating Black Hole |
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1.4.6 Accretion of Matter with Small Angular Momentum |
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1.4.7 Thin Transonic Disk |
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2 Force-Free ApproximationThe Magnetosphere of Radio Pulsars |
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2.1 Astrophysical Introduction |
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2.2 Basic Physical Processes |
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2.2.1 Vacuum Approximation |
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2.2.2 Particle Generation in the Strong Magnetic Field |
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2.2.3 Magnetosphere Structure |
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2.3 Secondary Plasma Generation |
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2.3.2 Neutron Star Surface |
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2.3.3 Propagation of y-Quanta in the Superstrong Magnetic Field |
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2.3.4 General Relativity Effects |
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2.3.5 Particle Generation in the Magnetosphere |
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2.3.6 "Hollow Cone" Model |
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2.3.7 Secondary Plasma Generation"Outer Gap" |
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2.4.1 Force-Free Approximation. The Magnetization Parameter |
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2.4.2 Integrals of Motion |
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2.4.3 GradShafranov Equation |
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2.4.4 Mathematical IntermezzoQuasistationary Formalism |
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2.5 Energy Losses of Radio Pulsars |
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2.5.1 Current Loss Mechanism |
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2.5.2 Slowing Down of Inclined and Orthogonal Rotators |
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2.6 Magnetosphere Structure |
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2.6.2 Magnetosphere Structure with Longitudinal Currents |
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2.6.3 Magnetosphere Models |
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3 Force-Free ApproximationThe Black Hole Magnetosphere |
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3.1 Astrophysical IntroductionThe Central Engine in Active Galactic Nuclei |
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3.1.1 Possible Mechanisms of Black Hole Formation |
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3.1.2 Nature of Activity and Variability |
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3.1.3 Magnetized Accretion Disk |
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3.1.4 Regular Magnetic Field Generation |
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3.2.1 (3 1)-Splitting for the Electromagnetic Field |
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3.2.3 Vacuum Approximation |
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3.2.4 Force-Free GradShafranov Equation in the Kerr Metric |
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3.2.5 Particle Generation |
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3.3 Energy Release Mechanism |
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3.3.1 BlandfordZnajek Process |
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3.3.2 Physical IntermezzoBlack Hole Thermodynamics |
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3.4 Black Hole Magnetosphere Structure |
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3.4.3 Magnetosphere Models |
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4 Full MILD VersionGeneral Properties |
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4.1 Physical IntroductionMagnetohydrodynamic Waves |
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4.2 Relativistic Flows in the Kerr Metric |
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4.2.1 Integrals of Motion |
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4.2.3 GradShafranov Equation |
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4.3.1 Nonrelativistic Flows |
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4.3.2 Anisotropic Pressure |
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4.4.1 Some Useful Relations |
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4.4.3 Fast Magnetosonic SurfaceRelativistic Flows |
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4.4.4 Fast Magnetosonic SurfaceNonrelativistic Flows |
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4.4.5 Behavior of the Solution at Large Distances |
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4.4.6 Behavior of the Solution in the Vicinity of the Horizon |
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5 Full MILD VersionParticle Acceleration and Collimation |
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5.1 Astrophysical Introduction |
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5.1.2 Active Galactic Nuclei |
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5.1.3 Young Stellar Objects |
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5.1.4 Microquasars, Cosmological Gamma-Bursters, etc. |
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5.2.1 Cylindrical JetsThe Force-Free Approximation |
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5.2.3 Nonrelativistic Jets |
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5.2.4 General Properties and Application |
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5.3 Cold Quasimonopole Outflows |
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5.3.1 Relativistic Slowly Rotating Outflows |
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5.3.2 Relativistic Outflows with Differential Rotation |
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5.3.3 Nonrelativistic Slowly Rotating Outflows |
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5.3.4 Relativistic Fast-Rotating Outflow |
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5.3.5 Relativistic Outflow in the Parabolic Magnetic Field |
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5.4 Black Hole Magnetosphere |
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5.4.1 Slowly Rotating Black Hole Surrounded by a Thin Disk |
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5.4.2 Slowly Rotating Black Hole Surrounded by a Rotating Shell |
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5.5.1 Analysis of the Algebraic Relations |
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5.5.2 Self-Similar Solutions |
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5.5.3 Computational Results |
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6 Conclusion |
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A From Euler to GradShafranovThe Simplest Way |
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B Nonrelativistic Force-Free GradShafranov Equation |
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C Part-Time Job Pulsars |
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D Special Functions |
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D.3 Hypergeometric Function |
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E List of Symbols |
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References |
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Index |
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