Theory of Gravitational Wave Emission

6 lectures: October 31, November 02, 03, 06, 07, 08

Hand-written notes are available:

Part 1

Part 2

Parts 3 & 4

Part 5

PART A: POST-NEWTONIAN SOURCES

Lecture 1: Gravitational-wave generation formalism

- Quadrupole moment formalism
- Problem posed by compact binary systems
- Einstein's field equations

- Linearized vacuum equations
- The post-Minkowskian solution
- Near-zone and far-zone structures
- The radiative multipole moments

- The matching equation
- Expression of the multipole expansion
- The source multipole moments
- Non-linear multipole interactions

Lecture 4: Regularization of the field of point particles

- Hadamard self-field regularization
- Dimensional regularization
- Computation of regularization ambiguities

- The post-Newtonian acceleration
- Lagrangian and Hamiltonian formulations
- The innermost circular orbit
- Accuracy of the post-Newtonian expansion

- The binary's multipole moments
- Contribution of gravitational-wave tails
- Orbital phase evolution
- The two polarization wave-forms