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Problem Sheets
Everything below is available both as Postscript and pdf. If you are using a Unix machine, Postscript will probably open faster and look better on the screen, otherwise, you should click on the pdf version.
Problem Sheet 1: pdf, ps and solutions pdf, ps, short pdf and short ps. Also source as a tar file. Tensors, covariant derivative.
Problem Sheet 1b: pdf, ps and solutions pdf, ps, short pdf and short ps. Also source as a tar file. Prove the torsion free metric connection is a connection.
Problem Sheet 2: pdf, ps and solutions pdf, ps, short pdf and short ps. Also source as a tar file. Riemann tensor, curvature.
Problem Sheet 3: pdf, ps and solutions pdf, ps, short pdf and short ps. Also source as a tar file. Curvature, geodesics, general relativity.
Problem Sheet 4: pdf, ps and solutions pdf, ps, short pdf and short ps. Also source as a tar file. Killing vectors, weak field limit.
Problem Sheet 5: pdf, ps and solutions pdf, ps, short pdf and short ps. Also source as a tar file. The calculus of variations.
Problem Sheet 6: pdf, ps and solutions pdf, ps, short pdf and short ps. Also source as a tar file. Cosmology, RW type solutions
Problem Sheet 7: pdf, ps and solutions pdf, ps, short pdf and short ps. Also source as a tar file. More cosmology, age of the universe.
Sample paper: pdf, ps, short pdf and short ps
Problem Sheet 8: pdf, ps. and solutions to questions two and three pdf, ps, short pdf and short ps. Also source as a tar file. Question 1 is s question 2 on the fifth problem sheet here http://www.nottingham.ac.uk/~ppzpc/cosmology.html. Inflation, gravitational radiation.
Problem Sheet 9: pdf, ps. Kaluza-Klein theory. As suggested when I handed out the problem sheet, these questions are very hard and I have been having trouble getting them out so it is possible that I won't have solutions for these.
2003 paper: pdf, ps. Q1 outline soluntion: pdf, ps. Q2cd outline soluntion: pdf, ps. Q5 outline soluntion: pdf, ps.