# PHYS4201 Theoretical Astronomy (2011/12)

## Content

### Galaxy Formation

14 lectures in Michaelmas Term

*Syllabus:* The growth of density perturbations in the Universe, non-baryonic dark matter, power spectrum, cosmic microwave background, galaxy clustering. Non-linear evolution, top-hat model.

*Textbooks: *

Additional: Cosmology: The Origin and Evolution of Cosmic Structure [2nd ed] (2002) P. Coles and F. Lucchin (Wiley)

Additional: Principles of Physical Cosmology, P.J.E. Peebles (Princeton)

Additional: An Introduction to Modern Cosmology, A.R. Liddle (Wiley)

Additional: The Early Universe, E.W. Kolb and M.S. Turner (Addison-Wesley)

Additional: Cosmological Physics, J.A. Peacock (CUP)

### Astrophysical Fluids

8 lectures in Michaelmas and Epiphany Terms

*Syllabus:* Lagrangian particle paths. Euler equation of motion. Bernoulli equation. Compressible fluids, sound waves. Sub and supersonic motion, Mach number, 1-D shock waves. Star formation. Physics of accretion flows. Bondi accretion.

*Textbooks: *

Additional: Principles of Astrophysics Fluid Dynamics, C.J. Clarke and R.F. Carswell (CUP)

Additional: A First Course in Fluid Dynamics, A.R. Paterson (CUP)

Additional: An Introduction to Fluid Dynamics, G.K. Batchelor (CUP)

Additional: Elementary Fluid Dynamics, D.J. Acheson (OUP)

Additional: Fluid Dynamics for Physicists, T.E. Faber (CUP)

### General Relativity and Black Holes

14 lectures in Epiphany Term

*Syllabus*: Inertial frames and the Principle of equivalence. Tensors and tensor algebra. Tensor derivatives and Christoffel symbols for curved spacetime. Geodesic paths and the Euler-Lagrange equations. Riemann curvature tensor. Energy-momentum tensor and its conservation laws. Ricci tensor and the Einstein equations. Schwarzschild metric. Weak field limits for particle and photon paths. Precession of the perihelion of Mercury and lightbending around the Sun. Gravitational redshift. Black holes and event horizons.

*Textbooks:*

Additional: A Short Course in General Relativity, J. Forster and J.D. Nightingale (Springer)

Additional: Black Holes an Introduction, D.J. Raine and E. Thomas (Imperial College Press)

### Revision

3 lectures in Easter Term, one by each lecturer.

## Teaching methods

*Lectures:* 2 one-hour lectures per week

*Problem exercises:* See http://www.dur.ac.uk/physics/students/problems/