Prof.  Luca Amendola


Institut für Theoretische Physik -- Universität Heidelberg


Philosophenweg 16 -- D-69120 Heidelberg -- Germany

Tel: +49-6221-549-407 -- Fax: +49-6221-549-333

Sprechstunde: Tuesday 11.00 - 12.00 a.m.





  Advanced Cosmology

Sommer Semester 2011

   The course will cover advanced topics in Cosmology:
  
Theory:
   - Beyond the standard cosmological model
   - The need for dark energy
   - models and phenomenology of dark energy
   - models of modified gravity: extradimensional gravity, higher order gravity
   - non linear clustering (Press-Schecter, higher-order perturbation theory)
   - LTB models
Observations:
   - supernovae
   - redshift clustering
   - lensing
   - cosmic microwave background
   - Bayesian statistics



   NOTE: Course begins on April 11th, 2011

   classes on Monday 14:00-15:45 Philosophenweg 12, gHS

  
  
   Calendar (to be confirmed):
   11.04
   18.04
   02.05
   09.05 (seminar Dr. A. Maccio': Cosmological  N-body simulations)
   16.05
   23.05
   30.05 (seminar Dr. I. Sawicky)
   06.06
   20.06 (seminar Dr. R. Catena, Dark Matter)
   27.06
   04.07
   11.07
   18.07


    CREDITS: 4
    The exam will be oral only.

    Suggested texts:

    Lecture notes

    S. Dodelson, Modern Cosmology, Academic Press
    L. Amendola and S. Tsujikawa, Dark Energy, Theory and Observations, Cambridge University Press, 2010
 

 
    Program:
   
    Evidences of dark energy: eq. of state and SN observations
    Scalar field models of DE; EMT of scalar field; eq. of motions
    Phase space analysis
    Fixed points; Stability; Attractors; Tracking
    k-essence models
    coupled dark energy: solutions, attractors
    constraints from local gravity
    scalar-tensor models; conformal transformations
    f(R) models
    perturbations of scalar field models
    Yukawa correction
    growth of perturbations; growth rate
    cosmological surveys
    Redshift distortions in the power spectrum
    perturbations of null geodesics, weak lensing
    weak lensing surveys, convergence power spectrum
    non-linear Newtonian perturbations
    spherical collapse
    Press-Schecter formalism
    mass function of collapsed objects
    likelihood function, Bayes theorem
    Fisher matrix

    (corresponding to
     L. Amendola and S. Tsujikawa, Dark Energy, Theory and Observations,
    Chapters 4, 5.1,5.2,7.1, 7.2, 8.1, 8.3, 9.1,9.2,11.1-11.4,12.1,12.3,12.4,13.1,13.3,13.4,14.2,14.4)
 


   
   


 

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