國立虎尾科技大學 |

Dynamics of Extremal Black Holes

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dynamics of Extremal Black Holes/ by Stefanos Aretakis.
作者:	Aretakis, Stefanos.
面頁冊數:	XIII, 131 p. 82 illus., 62 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Gravitation. -
電子資源:	https://doi.org/10.1007/978-3-319-95183-6
ISBN:	9783319951836

Dynamics of Extremal Black Holes
Aretakis, Stefanos.

Dynamics of Extremal Black Holes[electronic resource] /by Stefanos Aretakis. - 1st ed. 2018. - XIII, 131 p. 82 illus., 62 illus. in color.online resource. - SpringerBriefs in Mathematical Physics,332197-1757 ;. - SpringerBriefs in Mathematical Physics,8.

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.

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 discovered characteristic phenomena (such as the horizon instability) that have enhanced our understanding of the dynamics of extremal black holes. The topics should be of interest to pure mathematicians, theoretical physicists and astronomers. This book provides common ground for communication between these scientific communities.

ISBN: 9783319951836

Standard No.: 10.1007/978-3-319-95183-6doiSubjects--Topical Terms:

591793
Gravitation.

LC Class. No.: QC178

Dewey Class. No.: 530.1

Dynamics of Extremal Black Holes
LDR:03967nam a22004215i 4500 001 988511
003 DE-He213
005 20200706083311.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319951836 $9 978-3-319-95183-6
024 7 $a 10.1007/978-3-319-95183-6 $2 doi
035 $a 978-3-319-95183-6
050 4 $a QC178
050 4 $a QC173.5-173.65
072 7 $a PHR $2 bicssc
072 7 $a SCI061000 $2 bisacsh
072 7 $a PHDV $2 thema
072 7 $a PHR $2 thema
082 0 4 $a 530.1 $2 23
100 1 $a Aretakis, Stefanos. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1210702
245 1 0 $a Dynamics of Extremal Black Holes $h [electronic resource] / $c by Stefanos Aretakis.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XIII, 131 p. 82 illus., 62 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematical Physics, $x 2197-1757 ; $v 33
505 0 $a 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.
520 $a 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 discovered characteristic phenomena (such as the horizon instability) that have enhanced our understanding of the dynamics of extremal black holes. The topics should be of interest to pure mathematicians, theoretical physicists and astronomers. This book provides common ground for communication between these scientific communities.
650 0 $a Gravitation. $3 591793
650 0 $a Mathematical physics. $3 527831
650 0 $a Astronomy. $3 593935
650 0 $a Astrophysics. $3 646223
650 1 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 769093
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Astronomy, Astrophysics and Cosmology. $3 593936
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319951829
776 0 8 $i Printed edition: $z 9783319951843
830 0 $a SpringerBriefs in Mathematical Physics, $x 2197-1757 ; $v 8 $3 1263793
856 4 0 $u https://doi.org/10.1007/978-3-319-95183-6
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)