Generalizations
of Kerr Solutions| Generalizations
of Kerr Solutions |
Kerr-de Sitter and Kerr-anti de Sitter
* Idea: Vacuum
solutions to Einstein's equation with a cosmological constant representing
rotating black holes.
* Kerr-AdS: Small Kerr-AdS
black holes have been shown to be unstable against both scalar and gravitational
perturbations.
@ Kerr-dS: Agnese & La Camera PRD(00)
[and KAdS]; Stuchlik & Slany PRD(04)
[equatorial orbits]; Cvetic et al PRL(05)ht, ht/05 [Euclidean,
BPS limit → Einstein-Sasaki spaces]; Vasudevan & Stevens PRD(05)gq [particles
and scalar fields]; Ghezelbash & Mann PRD(05)
[mass, entropy]; Chen et al NPB(07),
Hamamoto et al JPA(07)
[with NUT charge]; > s.a. optics [optical geometry], spinning
particles.
@ Kerr-dS, other dimensionalities: Dehghani PRD(02)ht/01 [dS-cft];
Gibbons et al JGP(05)ht/04;
Wu PLB(05)gq/04 [creation].
@ Kerr-AdS: Gibbons et al CQG(05)ht/04 [first
law]; Cardoso & Dias PRD(04),
Cardoso et al PRD(06)ht [instability];
Deruelle gq/05-in
[Einstein-Gauss-Bonnet, mass and angular momentum]; Cvetic et al PRD(05)
[supersymmetric]; Kovar & Stuchlik IJMPA(06)gq [test
particles]; Aliev ht/07 [electromagnetic
properties]; Müller & Aschenbach GRG(07)-a0704 [orbital
velocity profiles, Aschenbach effect]; > s.a. Smarr
Formula.
@ Kerr-AdS, other dimensionalities: Das & Mann JHEP(00)ht [conserved
charges]; Deruelle & Katz CQG(05)
[mass]; Deser et al CQG(05)
[charges]; Chen et al NPB(06)ht, CQG(06)ht [Kerr-NUT-AdS].
@ Particle dynamics: Stuchlik & Slany PRD(04)gq/03;
Kraniotis CQG(04)gq;
Vasudevan et al CQG(05)gq/04 [Hamilton-Jacobi
and Klein-Gordon equations];
Kunduri & Lucietti PRD(05)ht [5D,
Hamilton-Jacobi].
@ Thermodynamics: Dehghani PRD(02)
[and dS-cft]; Ding & Zhao IJGMP(04)
[S]; Gibbons et al CQG(05)ht/04 [KAdS,
first law].
@ Kerr-NUT-AdS: Kubiznák & Frolov CQG(07)gq/06 [Killing
tensors]; Page et al PRL(07)ht/06,
Krtous et al PRD(07)-a0707 [Killing-Yano
tensor and geodesic integrability]; Griffiths & Podolsky CQG(07)gq [parameters]; > s.a. black
hole
perturbations.
@ Other modifications: Chong et al PLB(05)ht/04 [Kerr-Taub-NUT-de
Sitter].
Other Solutions > s.a. black
holes in modified theories; kerr-newman;
Kerr-Schild Solutions; Wahlquist
Metric.
* Kerr-Sen: An exact
solution describing a rotating, charged, axisymmetric black hole, discovered
by Sen in 1992.
@ General references: Dadhich & Patel JMP(00),
Turakulov & Dadhich MPLA(01)gq [dual];
Burinskii PRD(03)gq/02 [non-stationary];
Gariel et al GRG(03)
[deformed ergosphere]; Klein TMP(03)
[on Riemann surfaces]; Psaltis PRL(08)-a0801
[in modified gravity, and tests].
@ Higher-dimensional: Horowitz gq/05-in;
Sakaguchi & Yasui IJMPA(06).
@
Double Kerr: Bonnor & Steadman CQG(04);
Rueda et al CQG(05)gq
[with one extreme object].
@ Boosted: Burinskii & Magli PRD(00)gq/99, gq/00-in;
Barrabès & Hogan PRD(03)gq [lightlike]; > s.a. numerical
relativity models.
@ Kerr-NUT: Vaidya et al GRG(76);
Dadhich & Turakulov CQG(02)gq/01 [uniqueness];
Nashed CPL(08)-a0804 [Møller
energy].
@ Kerr-Sen: Blaga & Blaga CQG(01)
[radial geodesics]; Wu & Cai JMP(03)gq/01 [scalar
field].
@ Other solutions: Glass & Krisch gq/04;
Kerner & Mann ht/07 [Kerr-Gödel].
Main page – Abbreviations – Journals – Comments – Other
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
20 jun 2008