Date | Notes |
W 1/4 | Classes Begin. Introduction, Administrivia. Black hole infall in coordinate time and proper time. Khuri cycloid solution. |
F 1/6 | Tortoise coordinate. Advanced and retarded null coordinates. Ingoing and outgoing Eddington Finkelstein coordinates. Kruskal coordinates. |
M 1/9 | Conformally rescaled, Penrose diagram. Reissner Nordström (charged) black hole. |
W 1/11 | Tensor valued forms, connection one-forms, curvature two-forms, |
F 1/13 | Application of curvature two-forms to the sphere. Connection one-forms for closed (three-sphere) FRW. |
M 1/16 | MLK Day, no class |
W 1/18 | Curvature two-forms for FRW. Kerr metric. |
F 1/20 | Geodesics in Kerr. |
M 1/23 | Kerr horizons. Static limit, ergosphere. |
W 1/25 | Komar energy, mass and angular momentum inferred at infinity. |
F 1/27 | Killing horizon, surface gravity, Black hole temperature and entropy. |
M 1/30 | Bogoliubov transformation, Hawking radiation. |
W 2/1 | Homogeneous istropic universe. Radio sources, SW galaxies, UV galaxies, X-ray sources, gamma ray bursts, CMB. |
F 2/3 | RW curvatures (curvature two-forms, extrinsic curvature). Friedman equations. Fluid stress energy sources, radiation, matter, curvature/cosmic string, domain walls, Dark Energy. Expansion, cosmological redshift. χ(z), horizon problem. |
F 2/10 | Ω(z). Flatness problem. |
M 2/13 | Δχ(z) along photon trajectory. Luminosity distance, peculiar velocity distance, angular diameter distance. |
W 2/15 | Magnitudes. Luminosity function. |
F 2/17 | Number counts per redshift (per luminosity). Radio source counts per redshift (per flux). Sky brightness. |
M 2/20 | in thermal universe, number density, energy density, entropy density,
effective (boson) degrees of freedom.
g_{eff}
Thermal history of the universe: Planck era, Grand Unification, QCD confinement, ν decoupling e^{+}e^{−} annihilations, T_{γ}/T_{ν} = (11/4)^{1/3}. nucleosynthesis, CMB decoupling |
W 2/22 | Observed baryon number per entropy, baryon asymmetry from free decay. |
F 2/24 | Boltzmann equation, evolution equations. |
M 2/27 | Magnetic monopoles, Kibble mechanism, Parker bound, Cabrera event |
W 3/1 | WIMPs |
F 3/3 | Scalar field dynamics. |
3/6–3/10 | Spring Break |
M 3/13 | Slow roll parameters. Scalar field near potential minimum. |
W 3/15 | Inhomogeneities. Correlation function, power spectrum. |
F 3/17 | Windowed mass fluctuations, discreteness terms in number fluctuations |
M 3/20 | Moments of Vlasov equation in expanding universe. |
W 3/22 | Perturbation theory master equation. Fiducial matter-dominated solution. Pressure, Jeans mass. |
F 3/24 | Velocity perturbations. Peculiar kinetic energy, gravitational correlation energy. Open universe, f(Ω) |
M 3/27 | Virgo infall. Uniform radiation background. |
W 3/29 | Recombination. Saha equation, ionization freezeout. |
F 3/31 | General sketch of CDM power spectrum. Relativistic perturbation theory: scalar, vector, tensor modes. |
M 4/3 | Relativistic perturbation theory: gauge invariant quantities. |
W 4/5 | Relativistic perturbation theory: some modes, numerical integration (Ma & Bertschinger) |
F 4/7 | CMB fluctuations, numerical results (CAMB) |
M 4/10 | Dark Matter performance |
W 4/12 | Statistics: moment generating function, cumulant generating function, effective potential |
F 4/14 | Continuous field, Poisson discrete realization, probabilities |
M 4/17 | Probability generating function, negative binomial/modified Bose-Einstein distribution |
W 4/19 | Last day of class. Clusters and voids. |