2024 Spring
AST 513: Physical Cosmology
Lecture: UZH Irchel Y23-G-04 at 10:15~11:45 Wednesday
Lecture: UZH Irchel Y36-K-08 at 12:15~14:00 Thursday
Exercise: UZH Irchel Y36-K-08 at 13:00~15:00 Friday
Class description:
This is the course webpage for the Spring 2024 lectures of "Physical Cosmology" offered by the University of 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. A different class under the same name will be taught by a different lecturer at ETH.
Lectures by:
Prof. Dr. Jaiyul Yoo (jaiyul.yoo uzh.ch)
Teaching assistants:
Matteo Magi (matteo.magi uzh.ch) and Christopher Magnoli (christopher.magnoli 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: Homogeneous and Isotropic 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,png)
- Lecture 2: Redshift and Hubble law (pdf)
- Lecture 3: Newtonian derivation of Friedmann equation, Robertson-Walker metric (pdf,jpg,png)
- Lecture 4: Energy-Momentum tensor, Friedmann equation (pdf)
- Lecture 5: Friedmann equation, angular diameter distance, luminosity distance (pdf)
- Lecture 6: cosmological distance ladder (slides), cosmological constant (pdf)
- Lecture 7: Brief history of the early Universe (pdf)
- Lecture 8: Thermal equilibrium, distribution after decoupling (pdf,gif)
- Lecture 9: Boltzmann equation and relic number density
- Lecture 10: WIMP constraint (png), Big Bang Nucleosynthesis (pdf)
- Lecture 11: Nucleosynthesis and Helium abundance
- Lecture 12: Recombination, Decoupling, Introduction to inhomogeneous universe (pdf)
Part II: Inhomogeneous Universe
- Lecture 13: Newtonian Perturbation Theory (pdf)
- Lecture 14: Scale-invariant Gaussian random fluctuations (pdf)
- Lecture 15: The shape of the matter power spectrum (pdf)
- Lecture 16: Peculiar velocity, Redshift space-distortion (pdf,note)
- Lecture 17: Redshift-space power spectrum
- Lecture 18: Relativistic perturbation theory, gauge transformation (pdf, note)
- Lecture 19: Gauge choice, conformal Newtonian gauge, synchronous gauge, linearized Einstein equation
- Lecture 20: Linear-order solutions, cosmological gravitational waves
- Lecture 21: Problems in the standard cosmology, inflationary solution (note)
- Lecture 22: slow-roll parameter, inflationary predictions, quadratic action (note)
- Lecture 23: scalar and tensor fluctuation amplitudes from inflation (Planck)
- Lecture 24: issues in the standard inflationary model
- Lecture 25: gravitational lensing (pdf)
- Lecture 25: gravitational lensing (strong, weak, micro), lens equation (note) (pdf)
- Lecture 26: observed ellipticity, lensing signal, systematic errors
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
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
Exam:
At the end of the course there will be an oral exam.
The course grade will be based on 50% Homework and 50% oral exam.