Course: PHZ 7608, Section 2405, Special and General Relativity 2, Class Hours: M Period 10, W Period 9, Room 1200
Lecturer: J. N. Fry, Office NPB 2172, phone 392-6692, e-mail fry#phys.ufl.edu, Office Hours: MWF Period 6   [Schedule]

Meeting Times: Monday, Period 10 (5:10 pm), Room 1200; Wednesday, Period 9 (4:05 pm), Room 1200 (75 minutes each)

Course Description:

This is the second semester of relativity, wherein we apply the machinery of the general theory of relativity to a variety of special topics.

Topics:

• Black holes
  • nonrotating — Schwarzschild
  • charged — Reissner-Nordstrom
  • rotating — Kerr
  • singularity theorems
  • Hawking radiation
• 3+1 decomposition, Hamiltonian formulation, Gauss-Codazzi equations
• Relativistic astrophysics: stellar structure, TOV equation, gravitational collapse
• cosmology
  • Robertson-Walker metric
  • Friedmann equations
  • thermal history in the standard model, nucleosynthesis, the microwave background
  • the early universe, inflation
  • large scale structure, microwave background
  • observations

Grading:

Grades will be based entirely on periodic homework sets.

Books: (Cosmology, Relativity, Relativistic Astrophysics)

• Sean Carroll, Spacetime and Geometry: An Introduction to General Relativity (Addison-Wesley, 2003).
  Errata. Online Lecture Notes on General Relativity. Cosmic Variance
• John A. Peacock, Cosmological Physics (Cambridge University Press, 1999)
• P. J. E. Peebles, Principles of Physical Cosmology (Princeton, 1993)
• Edward W. Kolb and Michael S. Turner, The Early Universe (Addison Wesley, 1990)

• S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time (Cambridge, 1973)
• Charles W. Misner, Kip S. Thorne, and John A. Wheeler, Gravitation (W. H. Freeman, 1973)
• Michael P. Ryan and Lawrence C. Shepley, Homogeneous Relativistic Cosmologies (Princeton, 1975)
• Steven Weinberg, Gravitation and Cosmology (Wiley, 1972)

• David Arnett, Supernovae and Nucleosynthesis: An Investigation of the History of Matter, from the Big Bang to the Present (Princeton, 1996)
• Jeremy Bernstein, Kinetic theory in the expanding universe (Cambridge, 1988)
• P. J. E. Peebles, Physical Cosmology (Princeton, 1972)
• P. J. E. Peebles, The Large Scale Structure of the Universe (Princeton, 1980)
• Ya. B. Zel'dovich and I. D. Novikov, Relativistic Astrophysics, Volume 1: Stars and Relativity (Chicago, 1978)
• Ya. B. Zel'dovich and I. D. Novikov, Relativistic Astrophysics, Volume 2: The Structure and Evolution of the Universe (Chicago, 1978)

Links:

• PHZ 6607
• Orbits in Strongly Curved Spacetime
• Black Holes in Java
• Andrew Hamilton's Relativity and Black Hole Links
• Andrew Hamilton's Cosmology Links
• Ned Wright's Cosmology Tutorial

• Falling into a black hole: r(t), r(t) (do you fall in or not?)
• Families of photon trajectories: Schwarzschild, Eddington-Finkelstein
• Black Holes
• Karl Schwarzschild, Sir Arthur Eddington, George Szekeres
• Reissner-Nordstrom Black Holes [arXiv]
• Riemann Tensor for Kerr geometry
• Higgins
• Lick Catalog [Northern Hemisphere], Lick Observatory
• CfA Slice, LCRS, 2dF, SDSS
• LAMBDA (COBE, WMAP)
• H₀t₀, Dq–z, m–z, Dm–z
• Supernova m–z relation: Hubble flow (39), ESSENCE Survey (56-57), z > 1 (64)
• Fig. 8.4
• Big Rip
• Scalar field dynamics: small field, coherent oscillations, large field
• Big Bang Nucleosynthesis
• P(k)
• Gaussian noise: n = -2, n = -1, n = 0, [1234], CDM
• Scale of the Universe
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges. arXiv:astro-ph/9506072
• COSMICS: Cosmological Initial Conditions and Microwave Anisotropy Codes. arXiv:astro-ph/9506070, ASCL, MIT
• CMBFAST [plot]
• Clusters: dn/dm. arXiv:astro-ph/0703571
• Lyman-Alpha Forest, arXiv:astro-ph/0108097

• Dark Matter Rap [mp3], [lyrics]

• Roy P. Kerr, Phys. Rev. Lett. 11, 237 (1963)
  Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Alan H. Guth, Phys. Rev. D23, 347 (1981)
  Inflationary universe: A possible solution to the horizon and flatness problems
• Andreas Albrecht and Paul J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982).
  Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking
• A. D. Linde, Phys. Lett. 114B, 431 (1982)
  Coleman-Weinberg theory and the new inflationary universe scenario
• J. M. Bardeen, Phys. Rev. D114, 1882 (1980)
  Gauge-invariant cosmological perturbations

Homework:

1. Homework 1 Solution
2. Homework 2 Solution
3. Homework 3 Solution