Cosmology I course

• Link to the Teams channel.
• Program of the course.
• Schedule for 2023/2024.
• Notes on Active Galactic Nuclei.
• Lost Horizons by Ellis & Rothman, 1993.
• 1965 paper on interpretation of the CMB.
• Lectures on cosmic acceleration by R. Bean, 2010.

Textbooks

• A first course in general relativity, 2nd edition, Bernard F. Schutz, Cambridge University Press.
• Cosmology, Nicola Vittorio, CRC Press.
• Cosmologia & cosmologie, Silvio Bonometto, Zanichelli
• Spacetime and Geometry - An introduction to general relativity, Sean Carroll, Cambridge University Press
• Introduzione all'astrofisica, Pierluigi Monaco, Aracne

Intermediate tests

• First test (general relativity) with solutions.
• Second test (FRW models) with solutions.
• Third test (FRW models) with solutions.

Lecture notes and slides

• Lecture 1 (slides), introduction to the course, here a link with videos.
• Lecture 1 (notes), Einstein equations, conserved quantities.
• Lecture 2, Schwartzschild metric, motion of a massive particle around a black hole.
• Lecture 3, the event horizon.
• Lecture 4, photon capture radius.
• Lecture 5, introduction to FLRW models.
• Lecture 6, Friedmann-Lemaitre-Robertson-Walker metric.
• Lecture 7, the Hubble law.
• Lecture 8, Friedmann equations.
• Lecture 9, Einstein-de Sitter model.
• Lecture 10, horizons.
• Lecture 11, flat and non-flat models.
• Lecture 12, models with Λ.
• Lecture 14, introduction to the early Universe.
• Lecture 15, thermodynamics of the early Universe.
• Lecture 16, Planck time and phase transitions.
• Lecture 17, problems of the hot Big Bang.
• Lecture 18, inflation.
• Lecture 19, quantum fields in an expanding Universe.
• Lecture 20, thermal history of the early Universe.
• Lecture 21, Big Bang nucleosynthesis.
• Lecture 22, recombination.

Proposed problems

• Problem 1, relativistic spaceship, and its solution.
• Problem 2-3, falling into a black hole, and its solution.
• Problem 4, photon capture radius, and its solution.
• Problem 6, curved universes (no solution needed).
• Problem 7, cosmological redshift and distances, and its solution.
• Problem 8, Friedmann equations (no solution needed).
• Problem 9, Einstein-de Sitter model (no solution needed).
• Problem 10, horizons, and its solution.
• Problem 11, models without cosmological constant, and its solution.
• Problem 12, models with cosmological constant, and its solution.
• Problem 16, Planck era (no solution needed).
• Problem 18, inflation, and its solution.
• Problem 20, thermal history, and its solution.
• Problem 21, Big Bang nucleosynthesis, and its solution

Intermediate tests of past years

• First test (general relativity) of 2022/2023.
• Second test (FRW models) of 2022/2023.
• Third test (FRW models) of 2022/2023.
• First test (general relativity) of 2021/2022.
• Second test (FRW models) of 2021/2022.
• Third test (early universe) of 2021/2022.
• First test (general relativity) of 2020/2021.
• Second test (FRW models) of 2020/2021.
• Third test (early universe) of 2020/2021.
• First test (general relativity) of 2019/2020.
• Second test (FRW models) of 2019/2020.
• Third test (early universe) of 2019/2020.
• First test (general relativity) of 2018/2019.
• Second test (FRW models) of 2018/2019.
• Third test (early universe) of 2018/2019.
• First test of 2017/2018 and its solutions (in italian).
• Second test of 2017/2018 and its solutions (in italian).