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Self-Force and Radiation Reaction in General Relativity - Lecture 1

International Centre for Theoretical Sciences via YouTube

Overview

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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.

Syllabus

Self-force and radiation reaction in general relativity
Motivation - Compact binaries
Binary frequency
Ground-based detectors are sensitive to f approximately 100 hz
EMRIs
Wave forms give us information
Test no-hair theorem i.e Kerr black hole
Modeling
Black hole perturbation theory / self-force theory
Equation of motion
How high order?
Review - Barack & Pound
Perturbation theory
Taylor series
What equation h power n alpha beta satisfy?
Define C power alpha beta gamma
Proof
Einstein field equation

Taught by

International Centre for Theoretical Sciences

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