General Theory > s.a. chaos
in gravitation; cosmological models; perturbations
in general relativity [including gravitational waves].
* Motivation: The evolution of cosmological perturbations of an averaged
model (Friedmann-Robertson-Walker) allows us to make predictions for structure
formation and cosmological radiation backgrounds, that can be checked
against
observation; The linearized theory can be trusted, because now the
perturbations of interest are of order 1, so they must have been small
in the past (gravity enhances them in time).
* Idea: They are almost always done around FRW spacetime.
@ Reviews: Mukhanov et al PRP(92);
Tsagas ap/02-ln;
Brandenberger ht/03-ln, ht/05-ln;
Straumann hp/05-ln;
Tsagas et al PRP-a0705;
Malik & Matravers a0804 [concise
intro].
@ Approaches: Unruh ap/98 [long
];
Bertschinger ap/01-in;
Bartolo et al PRD(04)ap/03 [scalar
+ fluid]; Bashinsky PRD(06)ap/04 [cmb
and matter]; Carbone & Matarrese PRD(05)ap/04 [evolution
framework]; Casadio et al PRD(05)gq/04 [WKB
analysis]; Strokov ap/06 [hydrodynamical
and field approaches]; Enqvist et al PRD(07)gq [covariant].
@ Non-linear approaches:
Matarrese & Pietroni ap/07, JCAP(07)ap,
comment Rosten JCAP(08)-a0711 [RG
and structure]; Pietroni a0806.
@ Second-order: Malik & Wands CQG(04)ap/03;
Bartolo et al JCAP(04)
[and non-Gaussianity]; Nakamura PRD(06)gq,
PTP(07)gq/06 [gauge-invariant];
Hwang & Noh PRD(07) [second-order].
@ Stability and no-hair: Cotsakis & Miritzis CQG(98)
[Bianchi]; Bruni et al CQG(02)gq/01 [FRW
metric + dust + cosmological constant]; > s.a. higher-order
gravity.
@ Parametric resonance/amplification: Finelli & Gruppuso PLB(01)hp/00 [electromagnetic].
@ Stochastic gravity:
Roura & Verdaguer a0709 [correlations
and Einstein-Langevin
equation]; Urakawa & Maeda PRD(08)-a0710 [inflaton].
@ Related topics: Couch & Torrence CJP(96)
[gauging]; Lukash PU(06)ap [tensor
and scalar perturbations]; Hwang & Noh a0704 [third-order,
pressureless
fluids].
Specific Models > s.a. dark
energy; dark
matter; FRW models; inflation [including
lqg].
@ Types of matter: Giovannini CQG(05)ap [imperfect
fluid]; Demianski et al GRG(05)
[realistic dark energy and dark matter].
@ Various geometries: Moskaliuk et al HJ(95)ap/06 [non-trivial
topology]; Calzetta Kandus PRD(97)ap/96 [Tolman universe, non-linear evolution];
Tanimoto CM(03)gq
[Bianchi II]; > s.a. bianchi
I; bianchi models [III].
@ Origin, quantum cosmology: Halliwell & Hawking PRD(85)
[from no-boundary proposal]; Contaldi et al PLB(99)ap;
Hofmann & Winkler ap/04 [singularity-free
setting]; Bojowald et al PRD(06)gq,
PRL(07)gq/06 [lqg];
Sudarsky gq/06-in
[critical view, and proposal]; Mielczarek & Szydlowski PLB(07)-a0705 [possible
test of lqg].
@ Bounces: Geshnizjani & Battefeld PRD(06)ht/05;
Battefeld & Geshnizjani PRD(06);
Abramo & Peter a0705 [spectrum
unaffected]; Cardoso & Wands PRD(08).
@ Brane world: Aref'eva et al NPB(00);
Giddings et al JHEP(00);
Langlois
PRD(00)ht,
PRL(01)ht/00,
et al PRD(01)ht/00;
Neronov & Sachs PLB(01);
Deffayet PRD(02);
Leong et al PRD(02)gq/01;
Maartens ap/04-in
[rev]; Casali
et
al
PRD(04)ht;
Cardoso
et al JCAP(07)-a0705;
Laszlo
& Bean PRD(08)-a0709 [non-linear
growth]; > s.a. branes.
@ Higher-order gravity:
Koivisto & Kurki-Suonio CQG(06)ap/05;
Koivisto PRD(06)ap;
Song et al PRD(07)ap/06;
Bean et al PRD(07)ap/06;
Faraoni gq/07/PRD
[equivalence to scalar-tensor de Sitter background]; Uddin et al CQG(07)-a0705 [comparison
of
approaches]; Carloni et al PRD(08)-a0707;
Pogosian & Silvestri a0709 [structure
growth]; Tsujikawa et al PRD(08)-a0712 [metric
and Palatini]; de la Cruz-Dombriz et al PRD(08)-a0802 [metric].
@ Scalar-tensor theories: Carloni et al PRD(06)gq;
Carloni & Dunsby PRD(07)gq/06
[tensor perturbations].
@ Effect of electromagnetic fields: Barrow et al PRP(07);
Giovannini a0707.
@ Other theories: Cartier et al PRD(01)
[string theory]; Linder & Cahn ap/07 [growth
of perturbations]; Brandenberger et al a0706 [from
a tachyonic big bang]; > s.a. cosmic strings; loop
quantum cosmology, MOND/TeVeS, phenomenology
of Lorentz violation.
Consequences and Other Issues > s.a. content
of the universe; expansion; tests
of general relativity;
tests with light [deflection].
* Spectrum:
2006, WMAP results show deviations from flat Harrison-Zel'dovich spectrum
consistent with inflation [@ news pn(06)mar].
* Back-reaction:
The idea is that, to second order in perturbation theory, the first order
fluctuations back-react both on the background geometry and on the perturbations
themselves.
@ Primordial fluctuations: Matsumiya
et
al
JCAP(03)
[from cmb]; Lyth ap/05 [tensor, r <
16
bound]; Armendáriz-Picón
JCAP(07)ap/06 [state].
@ Back-reaction: Nambu PRD(02)gq;
Brandenberger & Lam ht/04 [and
cosmological constant relaxation]; Martineau & Brandenberger PRD(05)ap;
Behrend et al a0710-JCAP,
Li & Schwarz a0710 [and
FRW expansion].
@ Non-Gaussianity: Brown & Crittenden PRD(05)ap [from
magnetic fields]; Cooray PRL(06) [21-cm background anisotropy proposal]; > s.a. cmb [Sachs-Wolfe
effect].
@ Classicality: Kiefer & Polarski AdP(98)gq [emergence
from quantum
state];
Lyth & Seery ap/06 [after
horizon exit]; Weinberg PRD(06),
van der Meulen & Smit JCAP(07)-a0707 [quantum
corrections to correlations]; Armendáriz-Picón et al a0805 [limits]; > s.a. early
universe, inflation [quantum
to classical].
@ And observation: Araújo et al ApJ(01)gq [galaxy
redshift and counts]; Zaballa et al JCAP(07)ap/06 [constraints
from primordial black holes]; Ferreira & Magueijo a0708 [temperature
and fluctuations
of early universe]; > s.a. observation [difference
between surveys].
Quantum Theory > s.a. quantum
gravity effects on cosmology.
* Idea: The quantum theory of cosmological perturbations is trivial,
but
it is used to give a framework for choosing as initial conditions an appropriate
vacuum, like the Bunch-Davies vacuum, a local attractor (because
deviations
are redshifted away) which gives Gaussian fluctuations.
@ References: Giovannini CQG(03)ht;
Peter et al JCAP(05)ht [including
quantum backgrounds]; Pinho & Pinto-Neto PRD(07);
Campo & Parentani a0805 [decoherence and entropy].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
5 jul 2008