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Table of Contents

1. Gravitational Waves in Strong Gravitational Fields.- 1.1 Formalism of Complex Null Tetrads and Petrov Classification of Algebraic Types of the Weyl Tensor.- 1.2 Gravitational Waves and Generalized Solutions of the Equations of the Electrovacuum.- 1.3 Interaction of Gravitational and Electromagnetic Waves.- 1.4 Conditions on Surfaces with Strong Breaks in Theories of the Gravitational Field.- 2. The Classical Theory of Black Holes.- 2.1 Asymptotically Flat Gravitational Fields.- 2.2 Basic Elements of the Theory of Lie Groups and Exterior Forms.- 2.3 Stationary Gravitational Fields.- 2.4 Energetics of Black Holes.- 3. Stationary Axially Symmetric Fields in General Relativity.- 3.1 Canonical Equations of Massless Fields Admitting Abelian Two-Parameter Groups of Motions.- 3.2 Infinite-Dimensional Algebra and Lie Group of the Equations for the Neutrino Electrovacuum.- 3.3 General Solution of the Einstein-Maxwell Equations for Ernst Data Regular Locally on the Symmetry Axis.- 3.4 Lie-Bäcklund Groups of Integrable Systems of Mathematical Physics.- 4. Propagation of Waves in the Gravitational Fields of Black Holes.- 4.1 Propagation of Short Waves in the Field of a Charged Black Hole.- 4.2 Asymptotic Theory of Scattering of Wave Packets in the Gravitational Field of a Black Hole.- 4.3 Wave Fields Outside a Collapsing Star.- 5. Relativistic Hydrodynamics.- 5.1 Relativistic Dynamics of a Point and Gas of Free Particles.- 5.2 Thermodynamic Equilibrium in an Ideal Gas.- 5.3 Relativistic Dynamics and Acoustics of an Ideal Gas.- 5.4 Relativistic Magnetohydrodynamics.- 5.5 Hydrodynamical Flow Resulting from Production of Ultrarelativistic Particles in the Field of a Black Hole.- 5.6 Self-Similar Motions of an Ultrarelativistic Gas with Spherical or Cylindrical Symmetry.- 6. SomeProblems of the Dynamics of Waves in Relativistic Cosmology.- 6.1 Development of Inhomogeneities in Models of the Universe with a Cosmological Magnetic Field.- 6.2 Self-Similar Motions of a Photon Gas in the Friedman-Lemaître Model.- 7. Acoustic Phenomena in Strong Gravitational and Magnetic Fields.- 7.1 Propagation of Nonlinear Short Acoustic Waves.- 7.2 The Form of the Magnetosphere in a Nonuniform Plasma.- 7.3 Generation of Acoustic Waves by the Rotating Magnetosphere in the Stellar Wind.- 7.4 The Stability of Uniform Nonlinear Pulsations of Gravitating Gaseous Spheres.- 7.5 Nonlinear Transverse Oscillations at Resonance in a Layer of an Ideally Conducting Fluid in a Magnetic Field.- 7.6 Excitation of Shock Waves in a Layer of an Ideally Conducting Gas at Resonance in a Magnetic Field.- References.