PAP326 Cosmology II

Latest course pages on Moodle: Cosmology I (2022) and Cosmology II (2022)

Lecturer: Hannu Kurki-Suonio, C329

Assistants (exercises): Aula Al-Adulrazzaq, Jenni Häkkinen

The lecturer and assistant can be contacted by e-mail at *firstname.lastname(at)helsinki.fi*

Lectures: Physicum A315, Mo 14-16 and Tu 12-14

Exercise sessions: Physicum A315, Fr 12-14

The course is lectured in English.

Note that the exams begin sharp on the hour, not quarter past.

A help sheet with information on units and key equations and a particle data table will be handed out in the exam. Students may not bring books or their own notes to the exam. Note that many equations in the help sheet are for Cosmology II.

You need to bring your own calculator (function calculator without internet connection) to the exam.

Exam questions may be of similar nature to homework problems or similar to derivations in the lecture notes. There may also be an essay question.

If the exam date is impossible, students can agree with the lecturer (this must be done before the exam) to take it later, at a departmental exam. In this case the exercise points will contribute to the grade as usual. It is possible to retake the exam twice, at a departmental exam (aka general exam), without retaking the course. The grade will then be based entirely on the exam, the exercise points no longer count. In both cases the exam has to be taken before the course is lectured again.

Chapter 1: Introduction

Read Chapter 1 by yourself before the second lecture and before doing the first homework.

We begin from Chapter 2 in the second lecture.

Chapter 2: General Relativity

Chapter 3: Friedmann-Robertson-Walker Universe

Chapter 4: Thermal History of the Early Universe

Chapter 5: Big Bang Nucleosynthesis

Chapter 6: Dark Matter

Appendix A: Vectors and tensors in general relativity; Einstein equation (not required in Cosmology I)

Appendix C: Numerical Constants

Chapter 8: Structure Formation

Chapter 9: Cosmic Microwave Background (2021 version; will be uodated soon)

Appendix B: Quantum Fluctuations during Inflation (not required in Cosmology II)

Unlike most theoretical physics courses, in Cosmology we will not derive a self-contained theory from basic principles, but we will instead apply known theories to the study of the universe.

In Cosmology I the universe is treated in the approximation, where it is assumed homogeneous and isotropic. This approximation can be used for large scales and the early universe. This gives a basic picture of the composition and evolution of the universe. In Cosmology II we study deviations from homogeneity and isotropy.

Cosmology I is intended for the third (last) year of Bachelor studies or the first year of Master studies.
The recommended background for Cosmology I includes mathematical methods
(differential and integral calculus, e.g. Mapu I and II), classical mechanics, special relativity, quantum mechanics and statistical physics.
Quantum mechanics and statistical physics are not necessary, if the student is willing to accept some results
taken from these fields, which are presented in Chapter 4 of lecture notes.
Chapter 3 presents the results from general relativity that are needed for Cosmology I.
Students who prefer not to have many results presented to them without derivation could take **general relativity** first (but that would likely push Cosmology I to the second year of Master studies).

Cosmology II is intended for Master studies, to be taken after Cosmology I, but you can take it already with your Bachelor studies if you like, and if you would like to do your Bachelor's thesis in cosmology, this is recommended. Cosmology II requires additional mathematical methods (vector calculus, Fourier analysis and spherical harmonic analysis, e.g. Fymm I and Fymm II, assumed background) and borrows some results from cosmological (general relativistic) perturbation theory and quantum field theory (not assumed).

E.W. Kolb, M.S. Turner: The Early Universe (Addison-Wesley 1990)

T. Padmanabhan: Structure formation in the universe (Cambridge University Press 1993)

P. Coles, F. Lucchin: Cosmology - The Origin and Evolution of Cosmic Structure (Wiley 1995)

L. BergstrÃ¶m and A. Goobar: Cosmology and Particle Astrophysic (Wiley 1999)

J.A. Peacock: Cosmological Physics (Cambridge University Press 1999)

A.R. Liddle and D.H. Lyth: Cosmological Inflation and Large-Scale Structure (Cambridge University Press 2000)

M. Roos: Introduction to Cosmology, 3rd ed. (Wiley 2003)

S. Dodelson: Modern Cosmology (Academic Press 2003)

V. Mukhanov: Physical Foundations of Cosmology (Cambridge University Press 2005)

S. Weinberg: Cosmology (Oxford University Press 2008)

R. Durrer: The Cosmic Microwave Background (Cambridge University Press 2008)

A.R. Liddle and D.H. Lyth: The Primordial Density Perturbation: Cosmology, Inflation and the Origin of Structure (Cambridge University Press 2009)

Last updated: November 24, 2022