Professor: Yacine Ali-Haïmoud

Lectures: Tuesdays and Thursdays 9:30AM - 10:45AM, Physics building (726 Broadway)

Office Hours: Mondays 9:30 - 10:30AM, Physics building office 939.

The

renormalized grade = (bare grade)

Examples: If you have a perfect bare grade, attendance will not affect it.

If you have a bare grade of 50% but have attended all lectures, your renormalized grade will be 63%.

If you have a bare grade of 50% but only attended 1/10 of the lectures, your renormalized grade will be 31%.

Sean Carroll's lecture notes (an abridged, preliminary version of his book) are available here.

Other great textbooks:

Robert Wald's

Steven Weinberg's

Misner, Thorne and Wheeler's

Thorne and Blandford's

Week 1 (9/04, 9/06): review of special relativity, vectors and tensors. Lectures 1 and 2

Week 2 (9/11, 9/13): ideal fluid, electromagnetism, equivalence principle (lecture 3), manifolds (lecture 4)

Week 3 (9/18, 9/20): metric tensor field (lecture 5), covariant derivatives (lecture 6).

Week 4 (9/25, 9/27): from special to general relativity, the Riemann curvature tensor (lecture 7 and lecture 8).

Week 5 (10/2, 10/4): Einstein field equation (lecture 9), integration and Einstein-Hilbert action (lecture 10)

Week 6 (10/9, 10/11): Linearized gravity (lecture 11), linearized Einstein field equations (lecture 12).

Week 7 (10/16, 10/18): Far-field metric of a quasi-Newtonian source (lecture 13), Lense-Thirring effect, gravitational redshift and deflection of light (lecture 14).

Week 8 (10/23, 10/25): Gravitational lensing and Shapiro time delay (lecture 15). Gravitational waves: polarization and generation by a circular binary (lecture 16).

Week 9 (10/30, 11/01): Energy-momentum of gravitational waves; orbital decay of a circular binary. Introduction to the post-Newtonian expansion (lecture 17 and lecture 18).

Week 10 (11/06, 11/08): Symmetries, Spherically-symmetric spacetimes (lecture 19. The Schwarzschild solution (lecture 20).

Week 11 (11/13, 11/15): Midterm exam (solution). Spherically-symmetric stationary stars (lecture 21).

Week 12 (11/20, 11/22): Timelike geodesics of Schwarzschild (lecture 22). Thanksgiving.

Week 13 (11/27, 11/29): Schwarzschild black holes (lecture 23), Penrose diagrams and Kerr black holes (lecture 24).

Week 14 (12/04, 12/06): Introduction to cosmology (lecture 25), review of the semester.

Week 15 (12/11, 12/13):

Hand-written homeworks are acceptable only if they are

homework 1 (due Sept 11). solution

homework 2 (due Sept 18). solution

homework 3 (due Sept 27). solution

homework 4 (due Oct 4). solution

homework 5 (due Oct 11). solution

homework 6 (due Oct 18). solution

homework 7 (due Oct 25). solution

homework 8 (due Nov 1st). solution

homework 9 (due Nov 8th). solution