# FYSS4440 Cosmology (9 cr)

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## Description

A brief review of General Relativity

Robertson Walker metric

FRW universe

Thermal history of the early universe

Dark Matter

Big Bang Nucleosynthesis

Recombination and photon decoupling

Classical inflationary physics

Inflation and primordial perturbations

Structure formation

## Learning outcomes

After the course the student should be able to:

Solve for the dynamics of a homogeneous and isotropic universe from Friedmann equations in different cases (e.g. matter, radiation, vacuum energy).

Compute the relations between the redshift, age, distance, angular diameter and luminosity in the FRW universe.

Compute the evolution of thermodynamical equilibrium quantities in the early universe and explain the history of the universe.

Determine when a particle species decouples from thermal equilibrium (Boltzmann equation). Compute the relic abundance of WIMP dark matter. Describe properties of the dark matter component in the universe.

Compute He formation in a simplified model of the primordial nucleosynthesis, describe nucleosynthesis constraints on cosmological parameters.

Model basics of the recombination physics, describe characteristics of the Cosmic Microwave Background, explain its role in determining the cosmological parameters.

Compute the classical evolution in slow-roll inflation, determine the required amount of inflation, solve for quantum fluctuations of a test scalar in de Sitter, compute the spectrum of scalar and tensor perturbations produced during inflation.

Derive cosmological perturbation theory equations and gauge transformation rules in first order perturbation theory, compute the superhorizon evolution of adiabatic perturbations and connect it to inflation, solve for the perturbation equations in simple cases and describe their connection to structure formation.

## Description of prerequisites

FYSS7320 General Relativity (very useful)

FYSA2041/FYSA2042 Statistical Physics (thermodynamics of ideal gases, useful)

FYSA2002 Modern Physics, part B (basic concepts, might be useful)

## Study materials

Lecture notes, literature (list of possibly useful books)

## Literature

- E.W. Kolb, M.S. Turner: The Early Universe (Addison-Wesley 1990)
- P.J.E. Peebles: Principles of physical cosmology (Princeton University Press, 1993)
- S. Dodelson: Modern Cosmology (Academic Press 2003)
- V. Mukhanov: Physical Foundations of Cosmology (Cambridge University Press 2005)
- S. Weinberg: Cosmology (Oxford 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)

## Completion methods

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### Method 2

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### Teaching (9 cr)

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Lectures, exercises and exams.

### Independent study (9 cr)

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Self-study and exam.