Cosmology and Astroparticle Physics
FYTN11, 7.5 ECTS
The official home page for the course is at
This is a 7.5 hp Master/PhD course in Theoretical Physics at Lund University with the main focus on fundamental concepts of Particle Astrophysics and Cosmology. The course is scheduled for the second part of the autumn semester (October 31st, 2016, to January 15th, 2017).
Monday 31 October 2016, 13.15, room HUB, theoretical physics (house K, Sölvegatan 14A).
This course gives a solid theoretical basis of modern particle astrophysics and cosmology with an emphasis on the theory of early universe evolution. The course covers the major aspects of the hot Big Bang theory and the Standard Cosmological Model.
For more detailed information on the course, see
Prior knowledge of particle physics (an introductory course in particle physics or equivalent) is required. The prior knowledge of the general relativity is recommended. Rigorous junior-level knowledge in calculus and linear algebra is required.
(CB) D. Gorbunov and V. Rubakov Introduction to the Theory of the Early Universe: Hot Big Bang Theory, World Scientific 2011.
(BG) L. Bergström and A. Goobar Cosmology and Particle Astrophysics, 2nd edition, Praxis/Springer, 2003
G. F. R. Ellis, R. Maartens and M. A. H. MacCallum Relativistic Cosmology, Cambridge University Press, 2012
H. Klapdor-Kleingrothaus and K. Zuber Particle Astrophysics, IoP Publishing Ltd. 2000.
Relevant material which is not sufficiently covered in these books will be handed-in or posted here prior the corresponding lecture during the course. So, please, check this page regularly for updates.
Class-room activities and course schedule
We meet three times per week, namely, on Monday (13:15-15:00), Tuesday and Thursday (10:15-12:00) in HUB hall, unless noted otherwise. The course consists of approximately eighteen blackboard lectures (2x45min) and three/four problem solving sessions. Traditional black-board lectures in some cases will be supplemented with hand-in materials and presentations. Upon request, a few extra problem solving sessions can be arranged. There will be three problem-solving sessions, where we discuss you self-study assignments, and three written exam assignments during the course. It is recommended to have the problems solved more or less simultaneously with studying the corresponding chapters.
As an important part of your classroom activities, you will be given an advanced self-study topic for the course project ending up with a short 15-20 min classroom presentation at a seminar session.
Date Time Place Subject of the lecture References Assignments Mon 31/10 13-15 Sal HUB Introduction. An overview of the Universe evolution. CB: 1.2 - 1.7; BG: Ch 1 intro Tue 01/11 10-12 Sal HUB Foundations of General Relativity and the Standard Model. CB: App A,B; BG: Ch 2-3,6 SM slides, SM and GR notes Thu 03/11 10-12 Sal HUB FLRW metric. Hubble Law. Gas of free particles. CB: 2.2 - 2.5 Mon 07/11 13-15 Sal HUB Friedmann Equation. Sample cosmological solutions. CB: 3.1 - 3.3 Tue 08/11 10-12 Sal HUB Composition of the Universe and its evolution. LCDM Model. CB: 4.1 - 4.4; BG: 4.1 - 4.2 Thu 10/11 13-15 Sal HUB Problem solving session. HW-G1, HW-G2, HW-G3 Mon 14/11 13-15 Sal HUB Present Age and Horizon Size. Brightness-Redshift relation. CB: 4.5 - 4.7; BG: 4.3 - 4.6 Exam I due Tue 15/11 10-12 Sal HUB Dark Energy models. CB: 4.8; BG: 10.4 Thu 17/11 10-12 Sal HUB Thermodynamics of Expanding Universe. Entropy generation. CB: 5.1 - 5.3; BG: 8.1 - 8.3 Mon 21/11 13-15 Sal HUB Inequilibrium processes in Early Universe. Recombination temperature. CB: 5.3 - 5.4, 6.1; BG: 9.4 Tue 22/11 10-12 Sal HUB Photon Last Scattering. Horizon at Recombination. Flatness. CB: 6.2 - 6.4 Thu 24/11 10-12 Sal HUB Problem solving session. HW-G1, HW-G2, HW-G3 Mon 28/11 13-15 Sal HUB Relic neutrinos: Freeze-Out and cosmological bounds. CB: 7.1 - 7.2 Exam II due Tue 29/11 10-12 Sal HUB Big Bang Nucleosynthesis. Kinetics of primordial nuclear reactions. hep-ph/9602260, CB: 8.1 - 8.3(1,2),8.4; BG: 9.3 Thu 01/12 10-12 Sal HUB Cold, Hot and Warm Dark Matter models. Freeze-Out of WIMPs. CB: 9.1 - 9.4; BG: 9.2 Mon 05/12 13-15 Sal HUB Dark Matter models. Popular candidates. CB: 9.5 - 9.7 Tue 06/12 15-17 Sal HUB Phase transitions in Early Universe. Baryogenesis. CB: 10.1, 10.3, 11.1 - 11.5; BG: 7.1, 7.2 Thu 08/12 10-12 Sal HUB Problem solving session. HW-G1, HW-G2, HW-G3 Mon 12/12 13-15 Sal HUB Inflation. Primordial perturbations. Cosmic Microwave Background. arXiv:0907.5424, BG: 10.3, 11.1 - 11.9 Exam III due Tue 13/12 10-12 Sal HUB Abundance and sources of Cosmic Rays. UHECR and high energy neutrino. slides Thu 15/12 10-12 Sal Andro Presentations. Mon 19/12 - Sal HUB Finalizing the course. Wed 21/12 - Sal HUB Oral exam
Written exam problems:
Advanced self-study topics for the course project
The examination consists of two parts -- written and oral exams. The written exam concerns solving the three sets of take-home exercises marked as "Exam set I/II/III" above, timely handing them in by the respective deadline and being passed on those. Passing on all three sets of exercises is necessary to be admitted for the final (oral) examination. A passing level on a given set of exercises means that, at least, 70% of exercises are correctly solved. It is highly recommended to participate actively in the problem solving sessions. It is assumed that you have understood all the homework problems (marked as "HW" in Table above) for each of the problem solving sessions. The oral exam is the most crucial part and tests the understanding of theoretical foundations. The final grade is derived based on your performance at the oral exam only.
A list of typical oral exam questions is found here:
Course evaluations by students in the past
Responsible teacher and contactsLecturer , phone 046-2223192.
In the case of any problem, please, do not hesitate to send e-mail or give me a call.