Dynamics of Extremal Black Holes
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Beschreibung
This Brief presents in a self-contained, non-technical and illustrative fashion the state-of-the-art results and techniques for the dynamics of extremal black holes. Extremal black holes are, roughly speaking, either maximally rotating or maximally charged. Astronomical observations suggest that near-extremal (stellar or supermassive) black holes are ubiquitous in the universe. The book presents various recently discovered characteristic phenomena (such as the horizon instability) that have enhanced our understanding of the dynamics of extremal black holes. The topics should be of interest to pure mathematicians, theoretical physicists and astronomers. This book provides common ground for communication between these scientific communities.
Presents the main mathematical difficulties concerning the dynamics of extremal black holes Presents the main recent results and techniques in a unified non-technical and illustrative fashion Provides a discussion of the outstanding open problems and offers insights for potential resolutions Provides common ground for communication between different scientific communities including those of pure mathematicians, theoretical physicists and astrophysicists
Autor*in
Stefanos Aretakis
Themen in »Dynamics of Extremal Black Holes«
Einstein equations Extremal Reissner-Nordstrom black holes Extremal Kerr black holes Lorentzian geometry Linearized gravity null infinity extremal event horizon Cauchy problem for the Einstein equations sub-extremal black holes trapped surface black holes stability black holes instability Mathematical General Relativity Aretakis instability Black hole dynamics
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“Very attractive feature of the book are the copious figures which greatly aid understanding. … This book will be very useful for beginning graduate students who need to then study the proofs in the primary literature, as well as for researchers who wish to learn about the subject and understand the gist of the proofs without working through all the details.” (Elizabeth Winstanley, zbMath 1419.83002, 2019)
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