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Black Hole Perturbation Theory: An Introduction

Lecturer

Vitor Fernandes Guimarães (UFABC, Brazil)

Language

English

Schedule

15–19 Jul 2024 (5 classes, mandatory attendance in 4 for a certificate)

Time

16h00 (BRT)/19h00 (UTC)

Workload

10h

Topics

• Review of general relativity (optional)
• Linearized gravity
• Perturbation theory in Minkowski spacetime
• Gauge symmetries in general relativity
• Perturbation theory in Schwarzschild spacetime

Prerequisites

A standard introductory course in general relativity.

Bibliography

• Valeria Ferrari, Leonardo Gualtieri, and Paolo Pani. General Relativity and Its Applications: Black Holes, Compact Stars and Gravitational Waves (CRC Press: Boca Raton, FL, 2020).
• Sean Carroll. Spacetime and Geometry: An Introduction to General Relativity (Pearson: Harlow, 2014).
• Michele Maggiore. Gravitational Waves. Vol. 1: Theory and Experiments (Oxford University Press: Oxford, 2008).
• Emanuele Berti. “Black Hole Perturbation Theory”. 2016.

Resources

• Slideshow for lecture 1
• Slideshow for lecture 2
• Slideshow for lecture 3
• Slideshow for lecture 4
• Slideshow for lecture 5

Recordings