Generalized Kerr Solutions| Generalized Kerr Solutions |
Kerr-de Sitter and Kerr-anti de Sitter
> s.a. Kerr-Schild Solutions;
tests of general relativity with light.
* Idea: Vacuum solutions
to Einstein's equation with a cosmological constant representing
rotating black holes in a constant-curvature background.
* 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 Kerr-AdS];
Stuchlik & Slany PRD(04) [equatorial orbits];
Cvetič et al PRL(05)ht,
JHEP(09)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];
Abbassi IJMPA(10);
Akcay & Matzner CQG(11)-a1011 [horizon structure];
Poudel & Khanal a1309 [effective potential and geodesic motion];
Lake & Zannias PRD(15)-a1507 [global structure];
Hintz & Vasy a1606 [global non-linear stability];
Zannias GRG(18) [causality violation];
Gregory et al a2103 [evaporation, Unruh-Hawking-like vacuum state];
> s.a. optics [optical geometry]; spinning
particles; types of geodesics.
@ Kerr-dS, other dimensionalities: Dehghani PRD(02)ht/01 [dS-cft];
Gibbons et al JGP(05)ht/04;
Wu PLB(05)gq/04 [creation];
Mars & Peón-Nieto a2105 [characterization].
@ 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-conf [Einstein-Gauss-Bonnet, mass and angular momentum];
Cvetič et al PRD(05) [supersymmetric];
Kovář & Stuchlík IJMPA(06)gq [test particles];
Aliev PRD(07)ht [electromagnetic properties];
Müller & Aschenbach GRG(07)-a0704 [orbital velocity profiles, Aschenbach effect];
Holzegel CMP(10) [massive wave equation];
Hackmann et al PRD(10)-a1009 [geodesics];
McInnes NPB(12) [not fragile to pair-production of branes];
> s.a. Smarr Formula; thermodynamics [phase transition].
@ 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 & Slaný 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];
Iorio & Ruggiero JCAP(09) [gravitomagnetic effects].
@ Thermodynamics: Dehghani PRD(02) [and dS-cft];
Ding & Zhao IJGMP(04) [S];
Gibbons et al CQG(05)ht/04 [Kerr-AdS, first law];
Cho et al AP(10) [extremal Kerr-(A)dS, entropy];
Hajian GRG(16)-a1602 [conserved charges].
@ Kerr-NUT-AdS: Kubizňák & Frolov CQG(07)gq/06 [Killing tensors];
Page et al PRL(07)ht/06,
Krtouš et al PRD(07)-a0707 [Killing-Yano tensor and geodesic integrability];
Griffiths & Podolský CQG(07)gq [parameters];
> s.a. black-hole perturbations.
Other Solutions
> s.a. black-hole hair; black-hole solutions
/ kerr-newman spacetime; 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];
Klein TMP(03) [on Riemann surfaces].
@ Non-Kerr rotating black holes: Bäckdahl & Valiente Kroon PRS(11)-a1010 ["non-Kerrness"];
García-Parrado & Senovilla GRG(13)-a1211
[invariant quality factors measuring the deviation from the Kerr metric];
Johannsen PRD(13)-a1501 [with three constants of motion];
Jiang et al JCAP(15)-a1406 [distinguishing Kerr and non-Kerr black holes, iron line reverberation];
Ghasemi-Nodehi & Bambi EPJC(16)-a1604 [new parametrization for tests];
Abdolrahimi et al JCAP(15)-a1509 [distorted].
@ Double Kerr: Bonnor & Steadman CQG(04);
Rueda et al CQG(05)gq [with one extreme object];
Herdeiro & Rebelo JHEP(08)-a0808;
Manko & Ruiz PRD(15)-a1308 [two spinning sources in gravitational equilibrium];
> s.a. non-causal spacetimes.
@ Boosted: Burinskii & Magli PRD(00)gq/99,
gq/00-MG9;
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 ChPL(08)-a0804 [Møller energy];
Houri et al PLB(08) [Kerr-NUT-de Sitter, all dimensions];
Preti & De Felice GRG(10);
Mars & Senovilla a1307 [Kerr-NUT-AdS, characterization];
Lewandowski & Ossowski a2001 [Kerr-NUT-de Sitter, non-singular];
> s.a. killing tensors.
@ Kerr-Sen:
Blaga & Blaga CQG(01) [radial geodesics];
Wu & Cai JMP(03)gq/01 [scalar field];
> s.a. black-hole thermodynamics.
@ In a cosmological background: Vaidya Pra(77),
comment Cox PRD(03) [FLRW background].
@ Other similar metrics: Vaidya Pra(84);
Chong et al PLB(05)ht/04 [Kerr-Taub-NUT-de Sitter];
Glass & Krisch gq/04;
Kerner & Mann PRD(07)ht [Kerr-Gödel];
Bini et al CQG(09) [with arbitrary mass quadrupole];
Hackmann et al PRD(10)-a1006 [with cosmic string, geodesics];
Ghezelbash et al PRD(10)-a1008 [Kerr-Bolt spacetimes, hidden conformal symmetry];
Frutos-Alfaro a1401,
IJAA(16)-a1509 [with quadrupole moment].
In Modified Gravity Theories
> s.a. black holes in modified theories; Disformal
Transformations; hořava gravity [no Kerr black holes];
scalar-tensor gravity.
@ General references:
Gariel et al GRG(03) [deformed ergosphere];
Psaltis PRL(08)-a0801 [and tests];
Daszkiewicz & Walczyk ASTP(14)-a1411 [in canonically deformed space-time];
Bejarano et al EPJC(15)-a1412 [f(T) gravity].
@ Higher-dimensional:
Horowitz in(09)gq/05;
Sakaguchi & Yasui IJMPA(06).
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