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Dynamics of extremal black holes

Author: Stefanos Aretakis
Publisher: Cham, Switzerland : Springer, 2018.
Series: SpringerBriefs in mathematical physics, v. 33.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Aretakis, Stefanos.
Dynamics of extremal black holes.
Cham, Switzerland : Springer, 2018
(OCoLC)1039610531
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stefanos Aretakis
ISBN: 9783319951836 3319951831
OCLC Number: 1065522490
Description: 1 online resource (xiii, 131 pages) : illustrations (some color)
Contents: Intro; Preface; Acknowledgements; Contents; Part I Stability and Instability of Extremal Black Holes; 1 Introduction to General Relativity and Black Hole Dynamics; 1.1 Lorentzian Geometry and Causality; 1.1.1 Causal Theory; 1.1.2 Global Hyperbolicity; 1.1.3 Null Geometry; 1.1.4 Optical Functions; 1.2 The Einstein Field Equations; 1.3 Trapped Surfaces; 1.4 Null Infinity; 1.5 Black Holes; 1.5.1 Definitions, Diagrams and Examples; 1.5.2 The Surface Gravity of the Event Horizon; 1.5.3 Extremal Versus Sub-extremal Black Holes; 1.5.4 The Redshift Effect; 1.6 The Black Hole Stability Problem 1.7 The Wave Equation on Black Hole Exteriors1.8 Price's Asymptotics for Sub-extremal Black Holes; 1.8.1 Price's Heuristics; 1.8.2 The Newman-Penrose Constants I0 and I(1)0; 1.8.3 The Precise Late-Time Asymptotics; 1.9 Physical Importance of Extremal Black Holes; References; 2 Extremal Reissner --
Nordström Black Holes; 2.1 The Geometry of ERN; 2.1.1 The ERN Metric; 2.1.2 Penrose Diagrams; 2.1.3 Global Properties of ERN; 2.1.4 The Couch --
Torrence Conformal Inversion; 2.2 The Horizon Instability of ERN; 2.2.1 Conservation Laws Along the Event Horizon 2.4.2 Singular Time Inversion and the New Horizon Charge2.5 The Murata --
Reall --
Tanahashi Spacetimes; 2.6 The Interior of ERN and Strong Cosmic Censorship; References; 3 Extremal Kerr Black Holes; 3.1 The Geometry of EK; 3.2 Stability and Instability of EK for Scalar Perturbations; 3.3 The Lucietti-Reall Gravitational Instability of EK; 3.4 The Casals-Gralla-Zimmerman Work on EK; 3.5 Open Problems; References; Part II An Overview of the Proofs; 4 Asymptotics for Extremal Reissner-Nordström; 4.1 Introduction to the Vector Field Method; 4.2 Conservation of the JT-Flux; 4.3 The Morawetz Estimate
Series Title: SpringerBriefs in mathematical physics, v. 33.
Responsibility: Stefanos Aretakis.

Abstract:

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. The book presents various  Read more...

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