**Phys 503 / 729: General Relativity and Gravitation
Fall 2015 – Tentative Schedule**

Date |
Subject |
Comments |

Aug 24 | Ch. 1 – Introduction: Aspects of Newtonian Gravity | |

26 | Ch. 1 – Special Relativity: Spacetime and Lorentz Transformations | |

28 | Ch. 1 – Special Relativity: Vectors and Tensors | |

31 | Ch. 1 – Special Relativity: Maxwell's Equations and Field Theory | |

Sep 2 | Ch. 2 – Gravity as Geometry | |

4 | Ch. 2 – Manifolds: Vectors, Tensors and the Metric | last day to add |

7 | (* Labor Day Holiday *) | |

9 | Ch. 2 – Manifolds: FLRW Models | |

11 | Ch. 2 – Manifolds: Causality, Integration and Other Topics | |

14 | Ch. 3 – Differential Geometry: Covariant Derivatives | Quiz 1 HW#1 due |

16 | Ch. 3 – Differential Geometry: Geodesics | |

18 | Ch. 3 – Differential Geometry: Examples | |

21 | Ch. 3 – Differential Geometry: Curvature | HW#2 due |

23 | Ch. 3 – Differential Geometry: Geodesic Deviation | |

25 | Ch. 3 – Differential Geometry: Symmetries and Killing Vectors | Quiz 2 |

28 | Ch. 4 – Gravitation: Einstein's Equation | HW#3 due |

30 | Ch. 4 – Gravitation: Lagrangian Formulation of General Relativity | |

Oct 2 | Ch. 4 – Gravitation: Properties of Einstein's Equation; The Cosmological Constant | |

5 | Ch. 4 – Gravitation: Energy Conditions and the Equivalence Principle | |

7 | Ch. 4 – Gravitation: Alternative Theories | |

9 | Ch. 4 – Gravitation: Alternative Theories | Quiz 3 |

12 | Ch. 5 – Black Holes I: The Schwarzschild Metric | HW#4 due |

14 | Ch. 5 – Black Holes I: Singularities and Geodesics | |

16 | Ch. 5 – Black Holes I: Tests of General Relativity | |

19 | Ch. 5 – Black Holes I: Extended Solutions; Astrophysical Black Holes | Quiz 4 |

21 | Ch. 6 – Black Holes II: Event Horizons, Killing Horizons | |

23 | Ch. 6 – Black Holes II: The Reissner-Nordström Metric | |

26 | Ch. 6 – Black Holes II: Rotating Black Holes | |

28 | Ch. 6 – Black Holes II: Black-Hole Thermodynamics | HW#5 due |

30 | Ch. 7 – Linearized Gravity: Linearization, Gauge and Degrees of Freedom | |

Nov 2 | Ch. 7 – Linearized Gravity: Newtonian Fields and Photon Trajectories | |

4 | Ch. 7 – Linearized Gravity: Gravitational Wave Solutions | Quiz 5 |

6 | Ch. 7 – Linearized Gravity: Production of Gravitational Waves | |

9 | Ch. 7 – Linearized Gravity: Energy Loss Due to Gravitational Radiation | HW#6 due |

11 | Ch. 8 – Cosmology: Homogeneous, Isotropic Cosmological Models | |

13 | Ch. 8 – Cosmology: The Friedmann Equation and Solutions | Quiz 6 |

16 | Ch. 8 – Cosmology: Redshifts and Distances; Lensing | |

18 | Ch. 8 – Cosmology: The Early Universe | |

20 | Ch. 9 – Quantum Theory | Quiz 7 |

23 | (* Thanksgiving Holidays / Fall Break *) | |

25 | (* Thanksgiving Holidays / Fall Break *) | |

27 | (* Thanksgiving Holidays / Fall Break *) | |

30 | Ch. 9 – Quantum Field Theory in Curved Spacetime | |

Dec 2 | Ch. 9 – The Unruh Effect and the Hawking Effect | |

4 | Remarks on a Quantum Theory of Gravity | Quiz 8 |

Dec 7 |
Monday, 1:00 – 4:00 p.m., Final Exam (topic checklist, html and pdf versions) |
HW#7 |

website by luca bombelli <bombelli at olemiss.edu>; page last modified on 6 dec 2015