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