Dynamics of Extremal Black Holes

• Κύριος συγγραφέας: Aretakis, Stefanos (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: SpringerBriefs in Mathematical Physics, 33
• Θέματα: Gravitation.; Mathematical physics.; Astronomy.; Astrophysics.; Classical and Quantum Gravitation, Relativity Theory.; Mathematical Physics.; Astronomy, Astrophysics and Cosmology.

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 nea...

Πίνακας περιεχομένων:

• Preface
• Acknowledgements
• Stability and instability of extremal black holes
• Introduction to general relativity and black hole dynamics
• Lorentzian geometry and causality
• The Einstein field equations
• Trapped surfaces
• The Null Infinity
• Black holes
• The black hole stability problem
• The wave equation on black hole exteriors
• Price's asymptotics for sub-extremal black holes
• Physical importance of extremal black holes
• Extremal Reissner-Nordström black holes
• The geometry of ERN
• The horizon instability of ERN
• The precise late-time asymptotics
• Applications and additional remarks
• The Murata-Reall-Tanahashi spacetimes
• The interior of ERN and strong cosmic censorship
• Extremal Kerr black holes
• The geometry of EK
• Stability and instability of EK for scalar perturbations
• The Lucietti-Reall gravitational instability of EK
• The Casals-Gralla-Zimmerman work on EK
• Open problems
• An overview of the main proofs
• Asymptotics for ERN
• Introduction to the vector field method
• Conservation of the JT -flux
• The Morawetz estimate
• The T, P, N hierarchical vector fields
• The trapping effect on the event horizon
• Horizon localized and infinity localized hierarchies
• Energy and pointwise decay
• Late-time asymptotics
• Decay estimates for EK
• Axisymmetry vs Superradiance
• The Carter separation and frequency localization
• Physical space{Fourier space correspondence
• Frequency localized Morawetz estimates
• Energy and pointwise decay in time
• A theory of conservation laws on null hypersurfaces
• The geometry of null foliations
• Conservation laws for the wave equation
• The characteristic gluing problem
• Necessary and sufficient conditions
• Conservation laws on extremal black holes
• Bibliography.