Overview
- 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
Part of the book series: SpringerBriefs in Mathematical Physics (BRIEFSMAPHY, volume 33)
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Table of contents (6 chapters)
-
Stability and Instability of Extremal Black Holes
-
An Overview of the Proofs
Keywords
- 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
- Penrose diagrams
- Couch-Torrence conformal inversion
- Murata-Reall-Tanahashi spacetimes
- Lucietti-Reall gravitational instability
- Morawetz estimate
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Authors and Affiliations
Bibliographic Information
Book Title: Dynamics of Extremal Black Holes
Authors: Stefanos Aretakis
Series Title: SpringerBriefs in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-319-95183-6
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s) 2018
Softcover ISBN: 978-3-319-95182-9Published: 13 November 2018
eBook ISBN: 978-3-319-95183-6Published: 02 November 2018
Series ISSN: 2197-1757
Series E-ISSN: 2197-1765
Edition Number: 1
Number of Pages: XIII, 131
Number of Illustrations: 20 b/w illustrations, 62 illustrations in colour
Topics: Classical and Quantum Gravitation, Relativity Theory, Mathematical Physics, Astronomy, Astrophysics and Cosmology