PHYS 516 :: Physics Illinois :: University of Illinois at Urbana-Champaign

Course Schedule

Lectures will take place on Tuesdays and Thursdays from 12:30 - 13:50 h Central US in 276 Loomis Laboratory.

For details on semester dates, registration deadlines, etc., please check the Academic Calendar.

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The topics covered are the following:

In the table below, "MS" stands for "Mathematical sidetrack." Lecture notes will be available for download after every lecture.

In the column "Text suggestions", "P:X.Y" stands for Chapter X, Section Y, from the E. Poisson's textbook. Links to other supplemental material will be posted under this column occasionally. Check it frequently!

Week Date Lectures Homework Text suggestions
1
Tuesday
01/21/2025
Welcome and Lecture 1
Lagrangian formulation
Lect. Notes 01 P:4.1.1 to P:4.1.3
Thursday
01/23/2025
Lecture 2
Lagrangian formulation
(MS A: Hypersurfaces)
Lect. Notes 02 P:1.7 and P:3.1, 3.2, 3.3, and 3.4.1 to 3.4.2
2
Tuesday
01/28/2025
Lecture 3
Lagrangian formulation
(MS A: Hypersurfaces)
   
Thursday
01/30/2025
Lecture 4
Lagrangian formulation
   
3
Tuesday
02/04/2025
Lecture 5
3+1 decomposition
   
Thursday
02/06/2025
Lecture 6
3+1 decomposition
   
4
Tuesday
02/11/2025
Lecture 7
3+1 decomposition
   
Thursday
02/13/2025
Lecture 8
Hamiltonian formulation
   
5
Tuesday
02/18/2025
Lecture 9
Hamiltonian formulation
   
Thursday
02/20/2025
Lecture 10
Hamiltonian formulation
   
6
Tuesday
02/25/2025
Lecture 11
MS B: Congruences
   
Thursday
02/27/2025
Lecture 12
MS B: Congruences
   
7
Tuesday
03/04/2025
Lecture 13
Stationary and spherically symmetric black holes
   
Thursday
03/06/2025
Lecture 14
Horizons: event, apparent, and Killing
   
8
Tuesday
03/11/2025
Lecture 15
Stationary and axisymmetric black holes
   
Thursday
03/13/2025
Lecture 16
Stationary and axisymmetric black holes
   
9
Tuesday
03/18/2025
Spring break (no class)
Thursday
03/20/2025
Spring break (no class)
10
Tuesday
03/25/2025
Lecture 17
Stationary and axisymmetric black holes
   
Thursday
03/27/2025
Lecture 18
Energy and angular momentum, Smarr's formula, and the variation law
   
11
Tuesday
04/01/2025
Lecture 19
Energy and angular momentum, Smarr's formula, and the variation law
   
Thursday
04/03/2025
Lecture 20
Energy and angular momentum, Smarr's formula, and the variation law
   
12
Tuesday
04/08/2025
Lecture 21
General black holes and their mechanics
   
Thursday
04/10/2025
Lecture 22
General black holes and their mechanics
   
13
Tuesday
04/15/2025
Lecture 23
General black holes and their mechanics
   
Thursday
04/17/2025
Lecture 24
General black holes and their mechanics
   
14
Tuesday
04/22/2025
Lecture 25
Kerr geodesics
   
Thursday
04/24/2025
Lecture 26
Semirelativistic approximation and the self-force
   
15
Tuesday
04/29/2025
Lecture 27
Black hole perturbation theory
   
Thursday
05/01/2025
Lecture 28
Black hole perturbation theory
   
16
Tuesday
05/06/2025
Lecture 29
Black hole perturbation theory
   
Thursday
05/08/2025
Lecture 30
Black hole perturbation theory
   
  Final exams' week
05/09/2025 - 05/15/2025
Takehome final exam:
TBA