**Docenten:**

Rien van de Weygaert,

ZG 186, tel. 3634086, weygaert@astro.rug.nl

Rien van de Weygaert,

ZG 187, tel. 3634086, weygaert@astro.rug.nl

**Announcements:**

The first lecture will be on tuesday morning February 10, 13.7 minutes after 9 !!!!

The tutorial lectures of friday Feb. 27 will involve student presentations on
Early Cosmology.

Because of a clash with the lecture series "Statistical Methods", it has been decided to shift
the thursday lecture to friday morning 9:15-11:00. The tutorial lectures (werkcollege) will shift
to friday morning 11:15-13:00. This will take effect as of the first week, the Feb. 12 lecture
shifts to Feb. 13.

**Required Knowledge:**

There are no real requirements (except the usual basic knowledge of first and second year
mathematics, physics and astrophysics. Although some familiarity with General Relativity
will facilitate insight into the Universe, the lectures in the first week will provide
the necessary background.

**Lectures:**

The lecture schedule will be:

Tuesday 09:15-11:00 hoorcollege ZG 161

Friday 09:15-11:00 hoorcollege ZG 161

Friday 11:15-13:00 werkcollege ZG 257

**Exam:**

The exam will consist of three/four elements:

written exam -- tuesday April 21, 14:00-17:15, ZG161

presentation
(topic historical cosmology)

2 computer tasks

**General Information:**

Practical information on the course -- literature, provisional schedule, topics presentation Early Cosmology -- you
may find in:

General Lecture Information

**Literature:**

The course will be based upon

Lecture notes,

to be distributed during the course

Introduction to Cosmology

Barbara Ryden

Addison Wesley, 2002

ISBN 0805389121 (hardcover)

This book entails a really fabulous introduction to the basic concepts of cosmology,
nearly entirely up to date. It is one of the few textbooks really fun reading, a marvel of didactic writing.
In particular for the later stages of the lecture series -- Cosmic Microwave Background, Cosmic Nucleosynthesis,
Inflation -- I will assume you have the book.

In addition, there are three general cosmology books that from time to time you may wish to consult (but which
are not obligatory fare for this course !!!). They are somewhat more demanding than the Ryden book, yet
contain a lot of useful information,

Cosmological Physics

John Peacock

Cambridge University Press, 1998

ISBN 0521422701 (paper)

Cosmology, The Origin and Evolution of Cosmic Structure

P. Coles, F. Lucchin

Wiley, 2n edition, 2002

ISBN 0471489093

Principles of Physical Cosmology

P.J.E. Peebles

Princeton Univ. Press

ISBN 0691074283

**Lecture Notes:**

Below you find a listing which will gradually be updated. You may download the pdf and ppt files.

Introduction & Overview ppt

General Relativity pdf

The Cosmological Principle: Evidence ppt

(still some modifications needed, on cosmic dipole)

Robertson-Walker metric pdf

Cosmological Principle & handout

Robertson-Walker metric

Observational Cosmology

Cosmic Dynamics: & handout

FRW Cosmology

Cosmic Constituents ppt

(still needs
substantial extension on dark energy)

FRW Universe: Solutions handout

Evolution Hubble Parameter H(t) handout

and: Cosmic Time

Evolution Omega & Flatness Problem handout

and: Horizons & Horizon Problem

and: Inflationary Universe

The Hot Big Bang handout

& Thermal History of the Universe

and: Cosmic Microwave Background

The Hot Big Bang and the Early Universe ppt

Thermal History of the Universe

Big Bang Nucleosynthesis

Cosmic Microwave Background ppt

For the exam you should also study Ryden chapter 9, 10 and 11 !!!!!!!!!!

**Tentamen/Written Exam**

The written exam is on:

Tuesday April 21, 14:00-17:15; room ZG161**Presentation: Early Cosmology**

Attached you find the files with topics for your presentation on "Early Cosmology".

Choose the topic of your choice, subsequently inform me about your choice. Alternatively you may choose a topic not mentioned in the list. In that case consult lecturer. After approval you can set to work on the subject.

Early CosmologyYou are expected to prepare a 10-15 minute presentation (with ppt or pdf notes) !

**Werkcollege (tutorials)**

Attached you find the files with the werkcollege assignments.

Werkcollege Feb 13, 20: General Relativity, task 1-4Werkcollege Mar 6: Newtonian Cosmology, Hubble expansion, Observational Cosmology, Anisotropic expansion, task 1-4

Werkcollege Mar 13, 20: Solutions to the FRW Universe, 1-2

Werkcollege Mar 27: Mattig Relations, Horizon at recombination, 1-2

Werkcollege Apr 3: Early Universe, 1-2

Important: the assignments that were not completed during the werkcollege/tutorial class, you are expected to solve yourself at home. Completed tasks should be turned in to your lecturer. Completed and approved tasks are required for completion of the course.

Thus: please turn them in to your tutor (ie. me) !

For questions and advice on the tasks you are of course welcome to contact your "werkcollegedocent", which is me ! Room 186 !

For searching the astronomical literature the two most important website to consult are those of

ADS: NASA Astrophysics Data Systemastro-ph: astrophysics e-print server

Notice that ADS allows you to expand your literature search via the references of the paper under consideration, as well as the links to the papers that refer to it. While using this possibility wisely you may quickly find most relevant studies. Also notice that the links of ADS to the journals in which the papers are published may need you to use your student number + password for the University library, or you have registered with the University Library, when working from outside the university (e.g. from home). Otherwise you will not be able to use the university subscription to these journals.

**Interesting Literature**

During the course several papers relating to the lecture content will be handed out.

Here you may download them (will be updated during the course).

Hubble E., 1929, Proc. Nat. Acad. Sci., 15 (5 pp.)

Observational Tests World Models

Sandage A., 1988, Ann. Rev. Astron. Astrophys. 26, 561

Discovery Cosmic Microwave Background

Penzias A.A. & Wilson R.W., 1965, Astrophys. J. 142, 419

Discovery & Explanation Cosmic Microwave Background

Dick R.H., Peebles P.J.E., Roll P.G., Wilkinson D.T., 1965, Astrophys. J. 142, 414

SNIa discovery Lambda: High-z Supernova Search Team

Riess et al., 1998, Astron. J., 116, 1009

SNIa discovery Lambda: Supernova Cosmology Project

Perlmutter et al., 1999, Astrophys. J., 517, 565

Scale Factors & critical values Lambda in Friedmann universes

Felten J.E., 1986, Rev. Mod. Phys. 58, 689

Rindler: visual horizons in world models

Rindler W., 1956, MNRAS, 116, 662

Harrison: Hubble spheres and Particle horizons

Harrison, E., 1991, Astrophys. J., 383, 60

Guth: Inflationary Universe

Guth, A.H., 1981, Phys.Rev.D., 23, 347

**Lecture Schedule:**

(provisional, changes possible)

Week | Dates Hoorcollege | Subject Hoorcollege | Dates Werkcollege | Subject Werkcollege |
---|---|---|---|---|

1 | Feb. 10 (c) Feb. 13 (c) | The Hot Big Bang:
a Review and Introduction The metric Universe: General Relativity, basics and essentials | Feb. 13 (w) | Werkcollege set 1 |

2 | Feb. 17 (c) Feb. 20 (c) |
The Cosmological PrincipleCosmic Time and Weyl's Postulate Observational Evidence Cosmological Principle Observational Evidence Isotropic Universe Observational Evidence Homogeneous Universe | Feb. 20 (w) | |

3 | Feb. 24 (c) Feb. 27 (c) | Robertson-Walker metricCosmological Redshift Hubble Expansion Cosmological Observables in a Geometric Universe Observational Cosmology | Feb. 27 (w) | Presentations: |

4 | Mar. 3 (c)Mar. 6 (c) | Friedman EquationsCosmological Parameters: Hubble parameter, Omega, q and curvature | Mar. 6 (w) | Werkcollege set 2 |

5 | Mar. 10 (c)Mar. 13 (c) |
Cosmic Components: Radiation, (Dark) Matter and Dark Energy | Mar. 13 (w) | Werkcollege set 3 |

6 | Mar. 17 (c) Mar. 20 (c) | Cosmological FRW Solutions: Radiation- and Matter-dominated Universes, Radiation-Matter Equivalence Dark Energy and Cosmic Acceleration General FRW solutions, Matter-Dominated Universes, Flat Universes, ... | Mar. 20 (w) | Werkcollege set 3 |

7 | Mar. 24 (c) Mar. 27 (c) |
Cosmic HorizonsThe problems of standard cosmology: Flatness Problem, Horizon Problem, Structure Problem, Monopole Problem Inflation & the Inflationary Universe | Mar. 27 (w) | Werkcollege set 4 |

8 | Mar. 31 (c) Apr. 3 (c) |
The Early Universe:
Thermal History of the Universe Primordial Nucleosynthesis The Cosmic Microwave Background: Recombination, Decoupling and Freeze-out Thermalization and Blackbody Spectrum of the CMB Anisotropries of the CMB | Apr. 3 (w) | Werkcollege set 5 |