Self-force and radiation reaction in general relativity
2
Motivation - Compact binaries
3
Binary frequency
4
Ground-based detectors are sensitive to f approximately 100 hz
5
EMRIs
6
Wave forms give us information
7
Test no-hair theorem i.e Kerr black hole
8
Modeling
9
Black hole perturbation theory / self-force theory
10
Equation of motion
11
How high order?
12
Review - Barack & Pound
13
Perturbation theory
14
Taylor series
15
What equation h power n alpha beta satisfy?
16
Define C power alpha beta gamma
17
Proof
18
Einstein field equation
Description:
Explore the intricacies of self-force and radiation reaction in general relativity through this comprehensive lecture by Adam Pound. Delve into the physics of compact binaries, gravitational wave detection, and extreme mass ratio inspirals (EMRIs). Learn about black hole perturbation theory, self-force theory, and their applications in modeling gravitational wave sources. Examine the equation of motion, perturbation theory, and Taylor series expansions in the context of general relativity. Gain insights into testing the no-hair theorem for Kerr black holes and understand the importance of waveforms in extracting information from gravitational wave signals. This lecture, part of the ICTS Summer School on Gravitational Wave Astronomy, provides an in-depth exploration of advanced topics in gravitational physics, suitable for graduate students and researchers in the field.
Self-Force and Radiation Reaction in General Relativity - Lecture 1