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A Black-Hole Primer: Particles, Waves, Critical Phenomena and Superradiant Instabilities

2014/10/16 by Emanuele Berti, Berti, Emanuele · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #astro-ph.HE #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1410.4481

46 pages, 10 figures. Fixed some typos and references. The other lectures delivered at the school can be found at http://www.dpg-physik.de/dpg/pbh/aktuelles/S214.html

openalex publication_date 2014/10/16 · arxiv created 2014/10/22 · arxiv updated 2014/10/23 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

These notes were prepared for a lecture on black holes delivered at the DPG Physics School "General Relativity @ 99" (Physikzentrum Bad Honnef, Germany, September 2014). The common thread of the lecture is the relation between geodesic stability and black-hole perturbations in the geometric optics limit. Chapter 1 establishes notation and discusses a common misconception on Michell's "Newtonian black holes". Chapters 2 and 3 deal with particle dynamics and wave dynamics in black-hole spacetimes, respectively. All calculations should be simple enough that they can be done with pen and paper. Chapter 4 builds on this introduction to discuss two exciting topics in current research: critical phenomena in black-hole mergers and the black-hole bomb instability.

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