Dynamics of extremal black holes. (2018)

• Record Type: Book
• Further Information: Note: Stefanos Aretakis.
• Authors: Aretakis, Stefanos
• Contents: 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (xiii, 131 pages), illustrations (some color)
• Subjects: 523.8/875; Physics; Black holes (Astronomy); Science -- Mathematical Physics; Science -- Astronomy; Mathematical physics; Theoretical & mathematical astronomy; Astronomy; Science -- Gravity; Gravity; Electronic books
• Languages: English
• ISBNs: 9783319951836; 3319951831
• Related ISBNs: 9783319951829
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed November 5, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.