Courses ¨
PHYSICAL FOUNDATIONS OF COSMOLOGY
(V.N.Lukash)

  1. Introduction to relativistic astrophysics. Derivation of gravitational equations "using one-syllable words".
  2. Gravitational red shift. Friedmann equations. Schwarzschild solution.
  3. Correspondence principle and equivalence principle. Newtonian limit.
  4. Deflection of light beam by a massive body. Free fall in the Schwarzschild field.
  5. Collapse of dust ball. Semiclosed world. Kruskal coordinates and Penrose diagram.
  6. Evaporation of black hole. Equation of geodesic deviation. Gravitational waves.
  7. Physical basis of gravitational lensing. Gravitational lenses: isothermal sphere and homogeneous disk.
  8. Self-gravitating system of baryons: the stars. Sun, cold star, neutron stars, white dwarfs, quark stars.
  9. Self-gravitating system of dark matter: virialized halo.
  10. The theory of very early universe. Observational and experimental evidences.
  11. Problem of initial conditions: background model, primordial cosmological perturbations, hot universe and dark matter, undesirable relics, dark energy.
  12. Dark matter: experimental evidences. Primordial cosmological perturbations: the idea of parametric amplification. Increasing and decreasing mode of perturbations.
  13. Horizon problem. Inflationary paradigm. Examples of models of inflation: chaotic inflation, ?-inflation. The condition of slow rolling.
  14. Warming up after inflation. Cosmological nucleosynthesis.
  15. Self-reproducing universe, relationship with model of de Sitter, anthropic principle.
  16. Generation of primordial cosmological perturbations. Gravitational instability of the universe.
  17. Adiabatic and isometric density perturbations and isometric. Ambiguity of division into background and perturbation, gauge transformations.
  18. Theory of q-scalar. Quantization of q-fields: phonons. Scalar and tensor perturbation mode. Frequently encountered gauges: Newtonian, synchronous, concomitant.
  19. Physical meaning of q-field. Conformal noninvariance of q-scalar. Equation for q in conformal coordinates.
  20. Birth of particles in early universe. Spectra of scalar and tensor modes of perturbations. Spectrum of initial density perturbations after inflation.
  21. Limitations of spectrum and temperature of heating. Observational limitation of models of inflation.
  22. Structure formation in the universe. Evolution of early universe. Neutralino objects of Earth's mass.
  23. Role of dark matter, transition functions. Anisotropy and polarization of relic radiation.
  24. Generation of CMB anisotropy in recombination epoch. Components of anisotropy: baryon density, the Doppler effect, red shift, integral Sachs-Wolfe effect.
  25. Position of acoustic peaks. Non-instantaneous recombination.
  26. Process of hierarchical crowding, Press-Shechter method, Zel'dovich approximation.
  27. Dependence of integral mass function on cosmological parameters.
  28. Large-scale structure of universe, distribution of galaxies and clusters.
  29. Observational cosmology. Cosmological model and its parameters.
  30. Standard model. Secondary ionization. Correlation between mass of central black hole and mass of halo.
  31. Comparison of theory with observations. Removal of degeneracy between initial conditions and model. Testing of theories of inflation.
  32. Minimum cosmological model and its extensions. Degeneracy in space of cosmological parameters.
  33. Unsolved fundamental problems: dark matter, cosmological constant, connection of baryon asymmetry with dark matter.
 
  • LITERATURE
    1. L.D. Landau, E.M. Lifshitz. Field theory (Vol. 2)
    2. A.D.Linde Particle physics and inflationary cosmology
    3. V.N.Lukash Lectures about theory of early universe. astro-ph/9910009
    4. V.N.Lukash, E.V.Miheeva Lambda-inflation and anisotropy of CMB. astro-ph/9910135
    5. Collected lectures "Cosmology: The Physics of the Universe." eds. B.A.Robson et al., World Scientific, 1996

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