BSc Physics with Theoretical Physics

Cosmology

1. To provide a broad overview of modern physical cosmology.
2. To make clear the connections between basic physical ideas and modern cosmology.

On completion of the course, students should be able to:

1. Explain the concepts of the expansion and curvature of space.
2. Summarize the main evidence in favour of the Big Bang, inflation, dark matter and dark energy.
3. Relate the density of the universe to its rate of expansion and understand how this relation is modified by a cosmological constant.
4. Solve for the scale factor a(t) in different epochs of the Universe’s history.
5. Make quantative calculations of physical processes in the early universe.
6. Relate observed to physical properties of distant objects given the luminosity and angular size distances.
7. Describe the main events of the universe's history and locate them approximately in time and redshift.

1. Basic observations of the Universe                                                                                         (6 lectures)
1.1  What is cosmology?
1.2  Olber’s paradox
1.3  Expansion and acceleration of the Universe
1.4  Cosmic Microwave Background
1.5  Large-scale structure
1.6  Dark matter in galaxies and clusters of galaxies

2. FRW Universe Model                                                                                                                 (8 lectures)
2.1  Review of Newtonian gravity
2.2  Geometry of the spacetime
2.3  Dynamical equations
2.4  Solutions for the scale factor
2.5  Distances measures in the FRW Universe
2.6  Cosmological puzzles and inflation

3. Thermal History of the Universe                                                                                              (6 lectures)
3.1  Review of statistical mechanics and natural units
3.2  Cosmological freeze-out
3.3  Recombination
3.4  Neutrino decoupling – relativistic freeze-out
3.5  WIMP decoupling – non-relativistic freeze-out
3.6  Nucleosynthesis
3.7  Baryogenesis
3.8  Brief history of time!

4. Precision Cosmology                                                                                                                  (2 lectures)
4.1  Standard model of cosmology
4.2  Measurement of parameters using the CMB & P(k)
4.3  Beyond the standard model : curvature, dark energy & massive neutrinos
 

Feedback will be offered by examples class tutors based on examples sheets, and model answers will be issued.

Recommended text:
Liddle, A., An Introduction to Modern Cosmology 2nd ed. (Wiley)
Ryden, B., Introduction to Cosmology (Addison Wesley)

Useful references:
Harrison, E., Cosmology: the Science of the Universe, 2nd ed. (CUP)
Hawley, J.F and Holcomb, K.A., Foundations of Modern Cosmology (Oxford)
Peacock, J.A., Cosmological Physics, (CUP)
Serjeant, S., Observational Cosmology (CUP)

Supplementary reading:

Weinberg, S., The First Three Minutes, Updated ed. (Basic Books)
 

Tuition fees for home students commencing their studies in September 2027 will be £10,050 per annum. Tuition fees for international students will be £40,300 per annum.

For general information please see the undergraduate finance pages.

All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).

The University of Manchester is committed to attracting and supporting the very best students. We have a focus on nurturing talent and ability and we want to make sure that you have the opportunity to study here, regardless of your financial circumstances.