General Properties of the Metric [> s.a. bianchi
models.]
* Idea: A homogeneous
and isotropic metric, characterized by one of three types of 3D constant curvature
spatial geometries (open k = –1, flat k = 0, or closed k =
1), and a function a(t) representing its fiducial
size at
time t; > s.a. geometric quantities of
FRW metrics.
@ References: Hall CQG(00)
[projective symmetries]; Camci & Barnes CQG(02)gq/01 [Ricci
collineations]; Rindler PLA(00)
[finite-volume foliations in k < 0]; Melia & Abdelqader IJMPD-a0907 [observer-dependent
coordinates and interpretation of observations]; > s.a. cosmological
expansion [including interpretation]; types
of singularities [including
sudden]; world
function.
With Fluid Matter > s.a. branes;
canonical and covariant
quantum gravity; cosmological
models in general relativity; FRW
quantum cosmology.
* Idea: The corresponding
family of cosmological solutions of Einstein's equation generalize
the friedmann solutions.
* Special cases: For the case of a viscous fluid, the only term allowed
by the symmetry is bulk viscosity.
@ Fluid: Vajk JMP(69);
Elbaz et al GRG(97)
[Hamiltonian]; Faraoni AJP(99)aug-phy;
Di Prisco
et
al
PRD(01)gq/00 [dissipative];
Lima AJP(01)dec-ap;
Rosu et al JPA(03)mp/01 [barotropic,
Riccati
equation]; Gessner & Dehnen ap/02/ApJ
[2 fluids]; Mak & Harko
IJMPD(04)gq/03 [viscous,
stiff]; Wiltshire gq/03 [rotating];
Banks et al PRD(05)ht/04 [k =
0, radiation,
quantum]; Szydlowski & Hrycyna AP(07)
[dissipative].
@ Fluid + cosmological constant: Silbergleit gq/01;
Kristjánsson & Thorlacius JHEP(02)ht/02 [different
dimensionalities]; Berbena et al gq/06-in;
Aldrovandi et al FP(06).
@ Fluid + scalar: van den Hoogen et al CQG(99)gq;
Arias et al gq/02,
Mak & Harko
IJMPD(02)gq [quintessence];
Dehnen et al G&C(03)
[k = 0]; Miritzis
CQG(03)gq;
D'Ambroise & Williams ht/06,
Gumjudpai GRG(09)
[non-linear Schrödinger equation formulation]; Szydlowski & Hrycyna
JCAP(09)-a0811.
@ Unconventional fluid: Aguirregabiria & Lazkoz PRD(04)ht [tachyonic
+ barotropic, tracking].
@ Matter + cosmological constant: Dabrowski AP(96)gq/95 [oscillating];
Hamilton MNRAS(01)ap/00 [expansion
rates];
Gudmundsson & Björnsson ApJ(02)ap/01;
Lake PRL(05)
[with
=
1].
@ In Regge calculus: Collins & Williams PRD(73)
[3+1]; Brewin CQG(87); De
Felice & Fabri
gq/00, gq/01 [600-cell
polytope].
@ Related topics: Tomaschitz JMP(93)
[dispersion]; Zecca JMP(96)
[separation of
variables]; Martin et al JHEP(05)gq/00 [topology-change
Green
function]; Kirchner & Ellis CQG(03)
[prob measure]; Gambini & Pullin CQG(03)
[discretized].
Other Fields and Effects > s.a. chaotic
motion; phenomenology [including tails],
wave solutions and propagation;
thermodynamics.
@ Scalar field: Schmidt AN(90)gq/01 [k =
1, massive]; Kamenshchik et al IJMPD(97)gq/98 [including
fractal]; Santiago & Silbergleit
PLA(00)gq/98;
Leach et al G&C(01)
[integrability]; de Siqueira gq/01 [massive];
Khvedelidze & Palii
CQG(01)gq [and
spinor]; Figueiredo et al IJTP(02)gq [quintessence
+ scalar]; Williams & Kevrekidis CQG(03)
[and Ermakov-Pinney equation]; Christodoulakis et al gq/03 [Klein-Gordon];
Maeda & Harada PLB(05)gq/04 [kink
instability]; Berera & Ramos PRD(05)hp/04 [+
other]; Guo & Cai gq/05 [multi-scalar,
evolution as geodesic]; Giambò et al JMP(06)
[variational approach], GRG(09)-a0802 [with
general potential]; Maciejewski et al JPA(08)-a0803 [integrability];
Reyes a0806 [spatially
flat]; Hrycyna & Szydlowski JCAP(09)-a0812 [non-minimally
coupled scalar]; Copeland et al PRD(09)-a0904;
Moradi MPLA(09) [charged].
@ Scalar field, non-minimal coupling:
Alberghi et al PRD(00)gq/99;
Castagnino et al PRD(00)gq/99, PRD(02)
[conformal]; Gunzig et al PRD(01)gq/00 [and
superinflation]; Coelho et al JPA(08) [conformal, integrability].
@ Phantom: Singh et al PRD(03)ht;
Chimento & Lazkoz PRL(03)gq;
Guo et al PLB(04); Szydlowski et al PRE(05)ap/04;
Johri PRD(04); Dabrowski &
Stachowiak AP(06)ht/04.
@ Einstein-Yang-Mills: Henneaux JMP(82);
Donets et al PRD(99)gq/98 [N =
2 supersymmetry]; Shchigolev & Samaroo
GRG(04)
[+ non-linear scalar].
@ Plane waves: Tsamis & Woodard CQG(03)ap/02 [k = 0 case].
@ Spinor / Dirac fields: Barut & Duru PRD(87);
Epstein GRG(99)
[k =
0 case]; Sarkar & Biswas IJMPA(00);
Zecca NCB(03);
Armendáriz-Picón & Greene
GRG(03)ht;
Vakili et al JCAP(05)
[classical and quantum cosmology]; Balantekin & Dereli PRD(07)gq [Majorana
fermion + scalar]; > s.a. cosmological
constant [as
fermion condensate]; dirac fields on curved
spacetime.
@ Electromagnetic fields: Mashhoon PRD(73)
[k = 1]; Hogan & Ellis CQG(97)
[and gravitational waves]; Dariescu
& Dariescu IJMPA(03);
Haghighipour GRG(05)
[asymptotic properties and tails]; Khanal CQG(06)ap/05 [+
Dirac,
NP
formalism]; > s.a. Proca Theory; modified
electromagnetic
theory and QED.
@ Stability: Szydlowski & Czaja PRD(04)ap/03 [Chaplygin
gas]; Gorini et al PRD(05)
[various fluids].
@ Related topics: Cavaglià & Vargas CQG(01)
[from M-theory]; van Holten
PRL(02)
[Einstein-Higgs]; Zecca NCB(06)
[arbitrary spin, separation of variables]; Bina et al IJTP(08)-a0709
[scalar with non-commutativity
and minimal length]; Klinkhamer a0904 [gluon
condensate and acceleration]; Zecca IJTP(09)
[spin-2 fields]; Joukovskaya JHEP(09)
[with infinitely-many time derivatives]; Koivisto & Nunes a0907 [self-interacting
3-forms]; > s.a. dark
energy; modified
quantum mechanics; tachyons.
Quantum Fields > s.a. entanglement
examples; linearized quantum gravity; semiclassical
gravity.
@ General references: Shirai & Wada NPB(88)
[perturbations]; Guven et al PRD(89) & refs;
Finelli et al CQG(99)gq [electromagnetic
+ Dirac fields]; Bouhmadi-López
et al PRD(02)gq [radiation
+ cosmological constant +
perturbations]; > s.a. inflation.
@ Scalar field: Castagnino & Chimento GRG(86)
[adiabatic vacuum]; Boyanovsky
et al PRD(97);
Redmount PRD(99)gq [massive, k < 0
FRW models]; Tichavsky
mp/06 [Hadamard
condition]; Arteaga JPA(07),
et al IJTP(07);
Olbermann CQG(07)-a0704 [low-energy
states]; Dappiaggi et al JMP(09)
[distinguished states and Hadamard property]; Saharian & Mkhitaryan a0908 [vacuum
fluctuations and topological Casimir effect].
@ Particle creation: Lombardo et al MPLA(99)gq/98 [and
classical
chaos]; Setare IJTP(04)
[and Casimir effect]; Pascoal & Farina IJTP(07);
Moradi IJTP(09)
[Diract fields, and exact solutions]; Pereira
et al a0911 [in f(R)
gravity].
Related Metrics and Concepts, Other Theories > s.a.
asymptotic flatness; chaotic
metrics; perturbations; schwarzschild
spacetime.
@ Asymptotically FRW spacetimes: Shiromizu & Gen CQG(99)gq [at
timelike infty]; Canfora & Troisi
GRG(04)
[and structure formation]; Pinto-Neto
& Trajtenberg GRG(04)gq [Hamiltonian]; > s.a.
gravitational energy, schwarzschild.
@ With varying constants: Barrow et al PLB(02)gq [G and
];
Pradhan et al RJP(07)-gq/06 [G and
]; > s.a.
relativistic cosmology,
varying constants.
@ Higher-dimensional and brane world: Nojiri et al IJMPA(02)
[rev]; Khoury & Zhang PRL(02)ht;
García & Carlip PLB(07)
[n-dimensional].
@ Higher-order theories: Esposito
NCB(89)gq/95 [R2 with
torsion]; Sanyal
PLB(02)gq,
Miritzis JMP(03)gq [+
scalar], JMP(05)gq
[+ pfluid + scalar, recollapse problem]; Clifton CQG(07)gq [4th-order,
vacuum and fluid]; de Souza & Faraoni CQG(07)-a0706
[arbitrary f(R),
phase space view]; Clifton PRD(08)-a0807 [higher
powers of R].
@ Other theories: Minkevich & Garkun CQG(00)
[metric-affine gravity]; Minkevich AFLB-a0709 [Poincaré
gauge theory of gravity]; Kuusk et al IJMPA(09)-a0810-in
[scalar-tensor]; > s.a. brans-dicke theory,
friedmann equation,
supergravity; Yilmaz.
@ Related topics: Barceló et al IJMPD(03)gq-GRF
[cond-mat analogs]; Loran ht/05 [observing
FRW in Minkowski?]; > s.a. metric matching.
main page – abbreviations – journals – comments – other
sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 3
nov
2009