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Дата изменения: Wed Feb 23 11:48:24 2005
Дата индексирования: Mon Oct 1 20:10:18 2012
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Поисковые слова: эта киля
Cosmology

PROGRAM of

'Cosmology'

Fifth Year


  • Cosmology - Science of the Universe in General. Conception of the Universe in Classical Physics. Cosmological Paradoxes of Classical Cosmology. The Idea of Hierarchy as an Antithesis for Homogeneity. Hierarchial Universe. Hubble Research of Galaxies Distribution. Modern Ideas of Hierarchial Structure of the Universe. The Largest Scale of Heterogeneousness. Cosmological Principle. Formation of Relativistic Cosmology.
  • Space and Time. Newton Ideas about Space and Time. Classical Theory of Gravitation. Space-Time of Special Theory of Relativity. Incompatibility of Special Theory of Relativity and Classical Theory of Gravitation. Principle of Equivalence and General Principle of Relativity. Covariance of Physical Laws Relative to Coordinates Transformation. Systems of Coordinates and Frames of Refernce. Idea of Space-Time Curvature. Space-Time of General Theory of Relativity.
  • Riemannian Geometry as a Mathematical Base of General Theory of Relativity. Differentiable Manifold. Tensor Algebra. Tensor Fields on Manifold. Riemannian Manifold. Metric Tensor. Tensor Field Differentiation. Covariant Derivative. Tensors of Curvature, Rici, Curvature Scalar.
  • Paraller Transportation of Tensor Fields. Equation of Geodesics. Extreme Features of Geodesics. Equation of Geodesics Deviation.
  • Symmetry of Space-Time. Isometry, Groups of Isometry. Killing Vectors, Killing Equation. Maximum Order of Isometry Groups. Constant Curvature Spaces. Maximum Symmetric Subspaces. Metric Tensor of Constant Curvature Spaces.
  • Tensor of Energy-Impulse(TEI). TEI of Ideal Liquid, Relativistic Liquid, Dust, Electro-Magnetic Field. Einstein Tensor. Einstein Equation. Indeterminacy of Einstein Equation. Cosmological Λ-Term.
  • The Simplest Solutions of Einstein Equations. Swarzschild External Solution. Geodesics in Swarzschild Field. Effects of General Theory of Relativity in Solar System (Motion of Planet Perihelion, Deflection of Light Rays, Gravitation Red Shift, Delay of Radar Echo). Experimental Test of Effects of General Theory of Relativity. Swarzschild Black Hole.
  • Weak Gravitation Field. Post-Newtonian Approximation. Relativistic Frames of References in Solar System. Relativistic Astromery. Astronomical Scales of Time.
  • Gravitational Waves. Analogy and Difference of Gravitation and Electromagnetic Waves. Possible Sources of Gravitation Waves. Gravitation Wave Experiments. Cosmic Confirmation of Gravitation Waves.
  • Various Cosmological Models. Main Cosmological Parameters (Hubble Constant, Deceleration Parameter, Critical Density of Matter). Expanding Universe. Age of the Universe. Heterogenious Nonisotropic Models. Models of the Universe with Rotation.
  • The Most Widespread Distances in Cosmology (Photometric, Angular, Attendant, Intristic, Their Dependence on Red Shift. Standard Tests of Cosmology. Ratio Dimension - Red Shift, Visible Magnitude - Red Shift.
  • Hubble Constant Determination. Cosmography of the Near Universe. Peculiar Velocities. Large-Scale Streams in the Universe.
  • Gravitation Lensing. Gravitation Lens Equation. Astrometric and Photometric Aspects of Lensing. Microlensing. Weak Gravitational Lensing. Cosmic Distortion. Cosmological Parameters Determination from Effects of Lensing.
  • Hot Universe. Microwave Relic Radiation. Standard Scenario of the Universe Evolution. Cosmological Singularity. Inflationary Universe. Initial Nucleo-Synthesis. Large-Scale Structures in the Universe and Problem of Their Origin. Problem of Hidding Mass.Confirmation of Hot Universe Theory.

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