Physics 3002, Problem Set 9, due 4/15/09 Lam Hui
1. Ryden problem 7.7. In this problem, you are asked to show that the total physical area (measured today) of a sphere with a radius r (here, r refers to the coordinate radial distance, not a physical dista
Physics 3002, Problem Set 11, due 4/29/09 Lam Hui
1. This is based on Ryden problem 9.4. Find the luminosity distance dL to the surface of last scattering. You can assume the redshift of the last scattering surface is z = 1100. First, write down an exact
Physics 3002, Problem Set 10, due 4/22/09 Lam Hui
1. Ryden problem 8.3. Express your results in arcseconds. 2. In class, we derived an expression for the magnication of the two images of a point mass lens using: M= I dI S dS (1)
Complete the derivation to
Physics 3002 Problem Set 6, due 3/25/09 Lam Hui
1. Ryden problem 6.4. 2. Ryden problem 3.3. 3. In class, we have derived the (spatial) metric for the two-dimensional closed universe (known as a 2-sphere), by embedding it in three-dimensional space (basica
Physics 3002 Problem Set 5, due 3/4/09 Lam Hui
1. Ryden problem 6.6. 2. Derive the condition on ,0 and m,0 such that one has a big bounce solution to the Friedmann equation. This is a universe that in general has matter, curvature and the cosmological con
Physics 3002 Problem Set 3, due 2/18/09 Lam Hui
Solve the Friedmann equation for a(t) for a at universe (k = 0, or = 0 in Rydens notation) which is lled with some form of stu with an equation of state P = 2/3. You can use the initial condition that a = 0
Physics 3002 Problem Set 2, due 2/11/09 Lam Hui
1. Suppose the equation of state of some form of stu is P = w, where w is a constant. Derive from the rst law of thermodynamics, as discussed in class, the relation between and a. 2. Repeat the same calculat
Physics 3002 Problem Set 1, due 2/4/09 Lam Hui
1. In class, we discussed several ways in which the Olbers paradox can be resolved. In our universe, it turns out the resolution is mainly through the nite age of the universe. This is actually discussed in R