Dynamics of Extremal Black Holes
-15%
portes grátis
Dynamics of Extremal Black Holes
Aretakis, Stefanos
Springer International Publishing AG
11/2018
131
Mole
Inglês
9783319951829
15 a 20 dias
454
Descrição não disponível.
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-Nordstroem 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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
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-Nordstroem 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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
