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Preface.............................................................. 5Introduction......................................................... 9Chapter 1Hydrodynamic limit - classical problems of accretion and ejection.... 131.1 Astrophysical introduction - accretion onto compact objects.... 131 1 1 Accretion disks........................................... 141.1.2 Standard model............................................ 171.1.3 ADAF, ADIOS, etc.......................................... 201.2 Basic properties of transonic hydrodynamical flows............. 221.2.1 Basic equations........................................... 221.2.2 Spherically symmetric flow................................ 241.2.3 Plane potential flow...................................... 271.3 Axisymmetric stationary flows - nonrelativistic case........... 341.3.1 Basic equations........................................... 341.3.2 Mathematical interlude - covariant language............... 351.3.3 Structure of the two-dimensional flow..................... 371.3.4 Bondi-Hoyle accretion..................................... 451.3.5 Ejection from slowly rotating star........................ 491.4 Axisymmetric stationary accretion onto black hole.............. 571.4.1 Physical interlude - (3+1)-split in the Kerr metric....... 571.4.2 Basic equations........................................... 611.4.3 Exact solutions........................................... 651.4.4 Bondi-Hoyle accretion - relativistic limit................ 671.4.5 Accretion onto slowly rotating black hole................. 701.4.6 Accretion of a gas with small angular momentumonto nonrotating black hole......... 711.4.7 Thin transonic disk....................................... 771.5 Conclusion..................................................... 871Chapter 2Force-free limit - radio pulsar magnetosphere........................ 892.1 Astrophysical introduction..................................... 892.2 Main physical processes........................................ 922.2.1 Vacuum approximation...................................... 922.2.2 Particle creation in a strong magnetic field.............. 962.2.3 Structure of the magnetosphere............................ 992.3 Generation of secondary plasma.................................1042.3.1 ’Internal gap’............................................1042.3.2 Neutron star surface......................................1092.3.3 Propagation of gamma-quanta in superstrongmagnetic field......................1102.3.4 Effects of the general relativity.........................1112.3.5 Particle generation in the magnetosphere................. 1132.3.6 ’Hollow cone’ model...................................... 1142.3.7 Particle generation - ’external gap’..................... 1192.4 Pulsar equation............................................... 1192.4.1 Force-free approximation. Magnetization parameter........ 1192.4.2 Electromagnetic field. Integrals of motion............... 1212.4.3 Grad-Shafranov equation.................................. 1242.4.4 Mathematical interlude - quasi stationary approach....... 1272.5 Energy loss of radio pulsars.................................. 1302.5.1 Current loss mechanism................................... 1302.5.2 Braking of inclined and orthogonal rotator............... 1332.6 Structure of the magnetosphere................................ 1412.6.1 Exact solutions.......................................... 1412.6.2 Structure of the magnetosphere with longitudinal currents 1582.6.3 Models of th