PHYS4201 Theoretical Astronomy (2012/13)
14 lectures in Michaelmas Term
Additional: The Early Universe, E.W. Kolb and M.S. Turner (Addison-Wesley)
Syllabus: The growth of density perturbations in the Universe, non-baryonic dark matter, power spectrum, cosmic microwave background. Non-linear evolution, top-hat model.
8 lectures in Michaelmas and Epiphany Terms
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)
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.
General Relativity and Black Holes
14 lectures in Epiphany Term
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)
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.
3 lectures in Easter Term, one by each lecturer.
Lectures: 2 one-hour lectures per week
Problem exercises: See http://www.dur.ac.uk/physics/students/problems/