| course | dates | credits |
| Gravitational Waves | Jan 13 - Feb 4 | 3 |
| teachers | schedule | term |
| Enrico Barausse | Mon-Wed, 8:30-10:00 January 16, 8:30-10:00 | 2 |
Program:
I. The propagation and generation of gravitational waves
A. Linear perturbations on flat space
B. Linear perturbations on curved space
C. Linear perturbations on flat space: a scalar-vector-tensor decomposition
D. Generation of gravitational waves: a first derivation of the quadrupole formula
E. Dimensional analysis
II. Post-Newtonian expansion
A. The motion of massive and masseless bodies
B. The Einstein equations
C. A more rigorous derivation of the quadrupole formula
III. Local flatness and the equivalence principle
A. The local flatness theorem and Riemann normal coordinates
B. Fermi Normal Coordinates
IV. The stress energy tensor of gravitational waves
A. The gravitational contribution to the mass of a compact star
V. The inspiral and merger of binary systems of compact objects
A. Geodesics in Schwarzschild and Kerr
B. A qualitative description of the inspiral and merger
VI. The post-merger signal
A. Scalar perturbations of non-spinning black holes
B. Tensor perturbations of non-spinning black holes
C. Tensor perturbations of spinning black holes
VII. The detection of gravitational waves
A. The response of a gravitational wave detector: the low frequency limit
B. A geometric interpretation of the polarizations
C. The response of a gravitational wave detector: the transfer function
VIII. Gravitational wave data analysis
A. Gaussian noise and power spectral density
1. Detection in the presence of noise
B. The signal-to-noise ratio for inspiraling binaries
C. Parameter estimation
IX: Gravitational wave astrophysics:
A. The LVK events and their astrophysical formation channels
B. Sources of gravitational waves for LISA
C. The pulsar-timing array experiments
Prerequisites:
Books:
Online Resources:
| Filename | Size (bytes) | Date Modified | |
|---|---|---|---|
 |
2303.11713.pdf | 1.93 MB | Oct 9 2023 9:34 AM |