Bianchi Spacetime Models of Types VI-VIII| Bianchi Spacetime Models of Types VI-VIII |
Type VI > s.a. gravitational instanton
and thermodynamics; inflation;
minisuperspace quantum cosmology; singularities.
* Types: VI0
and VIh, including the exceptional case
VI−1/9.
@ VI0:
Rosquist & Jantzen PLA(85);
LeBlanc et al CQG(95) [magnetic, asymptotic states];
Berger CQG(96)gq/95 [chaotic singularity];
Weaver CQG(00)gq/99 [magnetic, and singularity];
Chakraborty & Ghosh IJMPD(03) [Brans-Dicke, inflation];
Barrow & Hervik CQG(03)gq,
Apostolopoulos GRG(04)gq/03,
Hervik CQG(04)gq [tilted fluid];
Coley & Hervik CQG(04)gq [tilted pfluids];
Singh & Chaubey IJMPD(06)-a1007-wd [Einstein-Maxwell-dilaton];
Heinzle & Ringström CQG(09) [vacuum, future asymptotics];
Belinchón CQG(09) [self-similar approach];
Groeninger a1908 [with orthogonal perfect fluid matter].
@ VI−1/9:
Hewitt GRG(91);
Hewitt et al CQG(03)gq;
Hervik et al CQG(08)-a0706 [tilted pfluid, late-time behavior].
@ VIh: & Ellis & MacCallum;
Clancy et al PLB(99)gq [string cosmology];
Jones gq/99 [semiclassical cosmology];
Coley & Hervik CQG(05)gq/04 [pfluid];
Apostolopoulos GRG(05),
Hervik et al CQG(07)gq [tilted pfluid].
@ Related topics: Saha G&C(10) [interacting spinor and scalar fields, with a cosmological constant];
Kao & Lin PRD(11) [anisotropically inflating, stability];
Saha a1507 [non-linear spinor fields].
Type VII > s.a. brans-dicke theory;
gravitational instanton; minisuperspace quantum
cosmology; singularities.
* Types: VII0
and VIIh; & Lukash.
* Behavior: VIIh
models are asymptotically self-similar at late times, VII0
show self-similarity breaking.
@ VII0: Wainwright et al CQG(99)gq/98 [pfluid];
Manojlović & Miković ATMP(00)gq/99 [Painlevé III equation];
Nilsson et al CQG(00)gq/99 [non-tilted pfluid];
Horwood & Wainwright GRG(04)gq/03 [electrovac];
Hervik et al CQG(06)gq/05 [tilted pfluid, asymptotic future];
Lim et al CQG(06)gq [irrotational radiation];
Sloan a1601 [anisotropic matter].
@ VIIh:
van den Hoogen et al PRD(97) [isotropization];
Wainwright et al CQG(98) [isotropization];
Nayak G&C(02) [imperfect fluid];
Coley & Hervik CQG(05)gq/04,
Hervik et al CQG(05)gq/04 [pfluid];
Barrow & Tsagas CQG(05)gq/04 [Lukash plane wave metric];
Jaffe et al ApJ(06)ap/05[with dark energy],
A&A(06)ap [and WMAP 3-year data];
Terzis & Christodoulakis GRG(09) [vacuum, general solution];
> s.a. cmb anisotropy.
Type VIII
> s.a. chaos in bianchi models.
$ Def: Characterized by
nij = (−1,+1,+1),
vi = 0.
@ General references: Kirillov & Montani PRD(97) [statistical properties, and IX];
Ringström CQG(00)gq/99 [curvature near singularity, and IX];
Barrow & Gaspar CQG(01)gq,
Ringström CQG(01)gq,
CQG(03)gq [vacuum, late-time];
Apostolopoulos & Tsamparlis GRG(03)gq [self-similar];
Shabbir et al G&C(10) [proper curvature collineations];
Starkov PLA(11)
[compact invariant sets; no periodic, homoclinic, or heteroclinic orbits in the zero-level set of the Hamiltonian].
@ With matter: Banerjee et al ASS(90) [viscous fluid];
Horwood et al CQG(03)gq/02 [fluid, late-time];
Hervik & Lim CQG(06)gq/05 [tilted pfluid, late-time];
Saha G&C(13)-a1107 [restrictions on the components of the energy-momentum tensor];
Heißel GRG(12)-a1203 [with anisotropic matter].
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