Cosmological Singularities| Cosmological Singularities |
In General
@ General references:
Ove PRD(89) [expanding spacetimes];
Tchapnda CQG(04) [Einstein-Vlasov-cosmological constant];
Kotsakis & Klaoudatou JPCS(05)gq [rev],
JGP(07)gq/06 [and Bel-Robinson energy];
Małkiewicz & Piechocki CQG(06) [quantum particle as probe];
Dąbrowski & Balcerzak gq/07-MGXI;
Uggla a0706-MGXI;
Belinski AIP(10)-a0910 [rev];
Fernández-Jambrina & Lazkoz a1001-MG12 [rev];
Belinski IJMPA(14);
Bars et al PRD(14)
[tracing the classical cosmological evolution from big crunch to big bang];
Cherkas & Kalashnikov TP(17)-a1504 [Gowdy, initial conditions at a cosmological singularity];
Belinski & Henneaux 17;
Elizalde Gal(18)-a1801 [history and classification of singularities];
> s.a. Big Freeze; FLRW geometry;
singularities [history].
@ Future singularities:
Kotsakis & Klaoudatou JGP(05);
Cotsakis gq/06-proc;
Beltrán Jiménez et al EPJC(16)-a1602 [cosmic doomsday].
@ Sudden singularities:
Lake CQG(04);
Barrow CQG(04)gq;
Fernández-Jambrina & Lazkoz PRD(04)gq;
Barrow et al CQG(10)-a1004 [solution near a sudden singularity];
de Haro et al PRD(12)-a1204 [in semiclassical gravity];
Barrow & Cotsakis PRD(13)-a1307 [no geodesic incompleteness].
@ FLRW milestones: Cattoën & Visser CQG(05)gq,
JPCS(07)gq/06;
Cattoën MSc-gq/06;
Cattoën & Visser gq/06-MGXI [behavior].
@ String-inspired:
Larsen & Wilczek PRD(97),
Cornalba et al NPB(02) [resolution];
Liu et al gq/03;
Sánchez IJMPA(03)ht.
Approach to the Singularity > s.a. quantum-gravity phenomenology;
singularities [avoidance, extending the spacetime].
* BKL conjecture:
In spatially inhomogeneous cosmologies, collapse is dominated by local
Kasner or Mixmaster behavior; 2001, generic Bianchi IX spacetimes converge
towards the Mixmaster attractor; 2016, Almost every Bianchi VIII and IX
vacuum solution forms particle horizons and converges to the Mixmaster
attractor.
@ General references:
Lifshitz & Khalatnikov AiP(63);
Belinskii & Khalatnikov JETP(69),
et al AiP(70),
AiP(82) [singularity in time];
Nolan CQG(01)gq [isotropic];
Deshingkar et al PRD(02)gq/01 [spherical];
Garfinkle PRL(04)gq/03 [numerical];
Khalatnikov et al JCAP(03) [2-fluid];
Garfinkle IJMPD(04)gq-GRF;
Andersson et al PRL(05)gq/04 [asymptotic silence];
Heinzle et al ATMP(09)-gq/07 [billiard attractor];
Damour & de Buyl PRD(08)-a0710 [using Iwasawa variables];
Henneaux a0806-fs
[hyperbolic Coxeter groups and Lorentzian Kac-Moody algebras];
Ashtekar et al CQG(09)-a0811,
PRD(11)-a1102 [in canonical general relativity];
Reiterer & Trubowitz a1005 [BKL and Bianchi VIII-IX models];
Damour & Lecian PRD(11)-a1011,
IJMPcs(12)-a1103 [statistical properties of cosmological billiards];
Galimova a1403 [BKL for Bianchi VIII and IX];
Brehm a1606
[particle horizons for Bianchi VIII and IX];
Goldstein & Piechocki a2103 [exact solution of the dynamical equations].
@ Inhomogeneous:
Montani CQG(95);
Berger gq/98-conf;
Berger et al MPLA(98)gq;
Weaver et al PRL(98);
Berger gq/01-proc.
@ 2-torus symmetry:
Weaver et al gq/01-MG9;
Berger et al PRD(01)gq.
@ U(1) symmetry: Berger & Moncrief PRD(98)gq [polarized],
PRD(98) [generic];
Isenberg & Moncrief CQG(02)gq [vacuum];
Berger CQG(04)gq/03.
@ Other types: Parnovsky CQG(90) [timelike];
Andersson & Rendall CMP(01)gq/00 [quiescent];
Parnovsky a1209 [timelike];
Rendall a1212-proc
[construction of oscillatory singularities];
Klinger MS-a1507 [non-chaotic];
> s.a. bianchi models; chaos
in bianchi models; models in numerical relativity.
@ Various theories: Berger PRD(00)gq/99 [with scalar field];
Damour et al CQG(03)ht/02 [Einstein-dilaton-p-form];
Benini et al CQG(05)gq [higher dimensions];
Fleig & Belinkski a1811 [2+1 dimensions].
Homogeneous Models
> s.a. bianchi cosmologies [whimper];
bianchi models;
fields in FLRW spacetimes.
* Bianchi IX: The
"attractor theorem" states that the past asymptotic behavior of generic
type IX solutions is governed by Bianchi type I and II vacuum states.
@ References:
Collins & Ellis PRP(79);
De Rop GRG(89) [VI & VII];
Rendall CQG(97)gq;
Ringström AIHP(01)gq/00 [IX];
Abramo et al IJTP(03)gq,
PRD(03) [non-minimal scalar];
Montani et al IJMPA(08)-a0712 [IX, classical and quantum];
Heinzle & Uggla CQG(09)-a0901,
CQG(09)-a0901 [Bianchi IX],
GRG(13) [spike statistics in Kasner sequences];
> s.a. Silent Universes.
Other Models
> s.a. brane world; gowdy spacetime.
@ Isotropic singularities:
Goode & Wainwright CQG(85);
Tod CQG(90);
Goode et al CQG(92);
Scott & Ericksson gq/98-proc;
Ericksson & Scott GRG(00)gq/01 [shear-free],
GRG(02)gq/03 [and matter];
Anguige & Tod AP(99)gq,
AP(99)gq;
Anguige AP(00)gq/99;
Klaoudatou & Cotsakis JPCS(07)gq/06-proc [and Bel-Robinson energy];
Barrow & Middleton PRD(07)gq [in quadratic gravity, stable];
Tod CQG(07)-a0705 [with cosmological constant];
Lübbe & Tod AP(08) [polytropic perfect fluid Bianchi models, global extension theorem].
@ Inhomogeneous: Rendall GRG(95)gq/94 [plane symmetry with scalar field],
gq/98-proc;
Berger & Moncrief PRD(00)gq,
PRD(00)gq [U(1) symmetry].
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