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Black Hole Perturbation Theory: An Introduction

Lecturer: Vitor Fernandes Guimarães, BSc (UFABC)

Schedule: July 15 to July 19 (5 classes), all at 16h00 (BRT)/19h00 (UTC). One must attend at least 4 classes to receive a certificate.

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.

Pre-requisites: A standard introductory course in general relativity.

Bibliography:

  1. Valeria Ferrari, Leonardo Gualtieri e Paolo Pani. General Relativity and Its Applications: Black Holes, Compact Stars and Gravitational Waves. Boca Raton, FL: CRC Press, 2020. doi: 10.1201/9780429491405.
  2. Sean Carroll. Spacetime and Geometry: An Introduction to General Relativity. Harlow: Pearson, 2014.
  3. Michele Maggiore. Gravitational Waves. Vol. 1: Theory and Experiments. Oxford: Oxford University Press, 2008.
  4. Emanuele Berti. “Black Hole Perturbation Theory”. Em: Summer School on Gravitational-Wave Astronomy (International Center for Theoretical Sciences). Bangalore, 2016.