Oscillations and Waves

in Strong Gravitational and Electromagnetic Fields

• Gravitational Waves in Strong Gravitational Fields
  • Formalism of Complex Null Tetrads and Petrov Classification of Algebraic Types of the Weyl Tensor
  • Gravitational Waves and Generalized Solutions of the Equations of the Electrovacuum
    • Properties of Families of Isotropic Geodesics in General Relativity
    • Propagation of Breaks in the Gravitational Field and Their Algebraic Classification
    • Decay of an Arbitrary Break in the Vacuum Gravitational Field
• The Classical Theory of Black Holes
• Stationary Axially Symmetric Fields in General Relativity
• Propagation of Waves in the Gravitational Fields of Black Holes
• Relativistic Hydrodynamics
  • Relativistic Dynamics of a Point and Gas of Free Particles
  • Thermodynamic Equilibrium in an Ideal Gas
  • Relativistic Dynamics and Acoustics of an Ideal Gas
    • Shock Waves and Vortex Motions of an Ideal Gas
    • Potential Motions
    • Acoustic Waves in a Relativistic Gas
    • Nonlinear Acoustics of an Expanding Universe:
    • Relativistic Theory
  • Relativistic Magneto hydrodynamics
    • Shock Waves in Magneto hydrodynamics and the Hugoniot Adiabat
    • Properties of MHO Breaks
    • Relative Positions of the Poisson and Hugoniot Adiabats
  • Hydrodynamical Flow Resulting from Production of Ultra relativistic Particles in the Field of a Black Hole
  • Self-Similar Motions of an Ultra relativistic Gas with Spherical or Cylindrical Symmetry
    • Qualitative Investigation of (5.6.5)
    • Ejection of Matter from a Singular Point (Axis) at the Instant t = 0
    • Solution of the Cauchy Problem
• Some Problems of the Dynamics of Waves in Relativistic Cosmology
  • Development of Inhomogeneities in Models of the Universe with a Cosmological Magnetic Field
    • Unperturbed Solution
    • Notation for Small Perturbations and Coordinate Restrictions
    • Equations of Conservation of Energy-Momentum and of the Magnetic Induction
    • A Closed System for the Odd Perturbations
    • A Closed System for the Even Perturbations
    • Exact Solutions of the Linearized Equations Corresponding to Perturbations of the Coordinate System
    • Closed System of Equations for the Even Perturbations
    • Analysis of the Closed System of Equations for Odd Perturbations
    • Analysis of the Closed System for Even Short-Wave Perturbations
    • Evolution of Perturbations of Arbitrary Finite Scales Near a “Pancake” Singularity
  • Self-Similar Motions of a Photon Gas in the Friedman-Lemaitre Model
    • Derivation of a Closed System of Ordinary Differential Equations and Conditions on Shock Waves
    • Friedman Solution and Qualitative Investigation of the System of Equations for z(O) and V(O)
• Acoustic Phenomena in Strong Gravitational and Magnetic Fields