2022 Spring
AST 513: Physical Cosmology
Lecture: UZH Irchel Y27-H-26 or Y36-J-33 (check course catalogue) at 14:00~16:00 Wednesday
Lecture: UZH Irchel Y36-K-08 at 12:15~13:45 Thursday
Exercise: UZH Irchel Y13-L-11/13 at 13:00~15:00 Friday
Class description: syllabus
This is the course webpage for the Spring 2022 lectures of "Physical Cosmology" offered by Uni Zurich. In this course (formerly known as Theoretical Cosmology), we study the history of our universe on large scales. We first discuss key cosmological observations that led to our standard model of cosmology, and we study in detail the origin and the evolution of the Universe such as inflation, big bang nucleosynthesis, and cosmic microwave background anisotropies. In the second part we learn (relativistic) perturbation theory and apply it to initial conditions, large-scale structure and weak gravitational lensing. The course and exercise classes will be presented in English.
The lectures will be held separately from ETH this year. A different class under the same name will be taught by a different lecturer at ETH.
Lectures by:
Prof. Dr. Jaiyul Yoo (jyoo physik.uzh.ch)
Teaching assistants:
Matteo Magi (matteo.magi uzh.ch) and Sandra Baumgartner (sandra.baumgartner uzh.ch)
Prerequisites:
Basic knowledge of general relativity is required
About the course:
The course will focus on applying General Relativity to Cosmology as well as developing the modern theory of structure formation in a cold dark matter Universe. The syllabus consists of the following topics:
Part I - The Unperturbed State of the Universe
- Introduction: dynamics of expanding Universe and its matter/energy content
- The FRW metric and Friedmann equations
- The Thermal History of the Universe (Hot Big Bang model)
- Decoupling and Thermodynamics of relic particles
- Nucleosynthesis and Recombination
- Introduction to Inflationary Theory
Part II - Inhomogeneous Universe
- Newtonian Perturbation Theory
- Probes of Inhomogeneities
- Relativistic Perturbation Theory
- Standard Inflationary Models
- Weak gravitational lensing
- Cosmic microwave background anisotropies (time permitted)
Text books:
- Mo, H., van den Bosch, F. & White, S., Galaxy Formation and Evolution, 2010, Cambridge Univ. Press (available online and in library) [1]
- Carroll, S. M., Lecture Notes on General Relativity, 1997 (available online) [2]
- Dodelson, S., Modern Cosmology, 2003, Academic Press (available online and in library) [3]
Additional texts:
- Weinberg, S., Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, 1972, John Wiley & Sons
- Mukhanov, V., Physical Foundations of Cosmology, 2005, Cambridge Univ. Press (available online and in library)
- Kolb, E. W. & Turner M. S., The Early Universe, 1994, Westview Press
- Straumann, N., General Relativity with Applications to Astrophysics, 2004, Springer (available online and in library)
- Liddle, A. & Lyth, D, Cosmological Inflation and Large Scale Structure, 2000, Cambridge Univ. Press (available online and in library)
Lectures:
Lecture notes: pdf
Part I: Homogeneous and Isotropic Universe
- Lecture 1: Introduction (slides)
- Lecture 2: redshift and Hubble law (pdf)
- Lectures 3 - 4: Robertson-Walker metric, Energy-momentum tensor, Friedman equation (pdf, pdf, jpg, png) p.217-231 of reference [2]
- Lectures 5 - 6: distance ladder (slides, pdf), cosmological constant (pdf), early universe
- Lectures 7 - 8: Thermal equilibrium, decoupled species, Boltzmann equation, relic abundance (see section 3.3 in [1])
- Lectures 9 - 10: Cold relic abundance, Big Bang Nucleosynthesis, Cosmic recombination (slides, note)
Part II:
- Lectures 11 - 12: Newtonian perturbation theory, initial conditions, two-point correlation function, the power spectrum (note)
- Lectures 13 - 14: The matter power spectrum, peculiar velocity, Redshift space distortion (Lecture note section 3.2-3.4) (figure)
- Lectures 15 - 16: relativistic perturbation theory, gauge transformation, popular gauge choice (note)
- Lectures 17 - 18: relativistic perturbation theory, energy-momentum tensor, Einstein equation
- Lectures 19 - 20: Standard inflationary models, background dynamics, slow-roll parameters (note, see section 3.6 in [1])
- Lectures 21 - 22: quadratic action, scale-invariant fluctuations (figure)
- Lectures 23 - 24: Gravitational lensing (strong, micro, weak), lens equation (slide), projected potential, shape distortion, ellipticity
- Lectures 25 - 26: Cosmic microwave background anisotropies
Exercise sheets:
- Problem sheet 0: pdf
- Problem sheet 1 & 2: pdf
- Problem sheet 3: pdf
- Problem sheet 4: pdf
- Problem sheet 5: pdf
- Problem sheet 6: pdf
- Problem sheet 7: pdf
- Problem sheet 8: pdf
- Problem sheet 9: pdf
- Problem sheet 10: pdf
Exercise solutions:
- Solution sheet 0: pdf
- Solution sheet 1 & 2: pdf
- Solution sheet 3: pdf
- Solution sheet 4: pdf
- Solution sheet 5: pdf
- Solution sheet 6: pdf
- Solution sheet 7: pdf
- Solution sheet 8: pdf
- Solution sheet 9: pdf
- Solution sheet 10: pdf
Exam:
The oral exam will be held on Tuesday, 14th June.
The course grade will be based on 50% Homework and 50% oral exam.
Advanced Topics of Theoretical Cosmology: syllabus
The course "Advanced Topis of Theoretical Cosmology" is an extension of "Physical Cosmology" and is given by Prof. Dr. Jaiyul Yoo.
The lectures take two hours (10am-noon), every day for two weeks. More information will follow later.