Course on Cosmology and Particle Astrophysics

by Profs. Lars Bergstrom and Ariel Goobar from the Stockholm Univ. (Sweeden)


The course is at the doctorate level within the Advanced Physics Program at the UB. It is divided into two parts, one week (two hours a day) each. Part I will be given by Prof. Bergstrom and Part II by Prof. Goobar.

Everybody is invited to attend the course. See the detailed content and schedule below.

Professors Bergstrom and Goobar are well-known experts on the field. Apart from their research activity on astroparticle physics and cosmology, they are co-authors of the excellent textbook:

"Cosmology and Particle Astrophysics" by Lars Bergstrom, Ariel Goobar (Springer-Praxis Books S. 1999, new edition 2003)

The content and the level of the course will be similar to this textbook.

For more information, contact the coordinator of the course:

Joan Solà (

Schedule and Content

Part I: Prof. Lars Bergstrom

Place: UB, Aula 505

Dates: March 14-15-16-17-18.....Time: 11-13h..........Total: 10 h


1. GENERAL INTRODUCTION. Introduction to astroparticle physics and cosmology. First introduction to general relativity. Concepts of metric and curvature.

2. GENERAL RELATIVITY. Mathematical formulation of curvature. The cosmological principle. Geodesics. The Ricci and Einstein tensors. Simple, symmetric cosmological solutions. The Friedmann and Raychaudhuri equations.

3. SOME PARTICLE PHYSICS. Couplings, masses and cross sections. Particles and antiparticles. The baryon asymmetry of the Universe. The Sakharov criteria. Scattering and annihilation cross sections. The standard model, successes and weaknesses. The hierarchy problem, grand unification and neutrino masses.

4. THE EXPANDING UNIVERSE. Cosmological parameters. Dark matter and dark energy. Thermodynamics of the early universe. The Boltzmann equation. Freeze-out and relic density.

5. BIG BANG NUCLEOSYNTHESIS. Hot and cold dark matter. Supersymmetry and its breaking. Brief explanantion of the MSSM. Supersymmetric dark matter. Some string cosmology and physics of extra dimensions. Conclusions of part I.


Part II: Prof. Ariel Goobar

Place: UB, Aula 505.

Dates: March 29-30-31 and April 1 and 4.....Time: 11-13 h......Total: 10 h


1. BIG BANG COSMOLOGY. FRW-metric. Energy components. Friedmann and acceleration equations. Fluid equations. Distance scales in cosmology. Horizons in cosmology.

2. COSMOLOGICAL PARAMETERS. Definition of the cosmological parameters. Distance measures. Observational constraints.

3. THE EARLY UNIVERSE. Introduction to the CMB. Shortcomings of the Big-Bang cosmology. Present status of CMB observations.

4. INFLATIONARY UNIVERSE AND STRUCTURE FORMATION. The Inflation mechanism. Some inflation models. Implications for structure formation. Observational prospects.

5. THE ACCELERATING UNIVERSE. Cosmological constant and the cosmological constant problem. Dynamical dark energy. Equation of state. Observational prospects on dark energy models.