Cosmological
Perturbations| Cosmological
Perturbations |
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 LNP-ht/03, ht/05-ln;
Straumann AdP(06)hp/05-ln;
Tsagas et al PRP(08)-a0705;
Malik & Matravers CQG(08)-a0804 [concise
intro]; Malik & Wands PRP(09)-a0809.
@ 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 AR(07)ap/06 [hydrodynamical
and field approaches]; Enqvist et al PRD(07)gq [covariant];
Carlson et al PRD(09)-a0905 [assessment].
@ Non-linear approaches:
Matarrese & Pietroni MPLA(08)ap/07, JCAP(07)ap,
comment Rosten JCAP(08)-a0711 [renormalization
group and structure]; Pietroni JCAP(08)-a0806;
Juszkiewicz et al a0901 [non-linear effects].
@ Second-order: Malik & Wands CQG(04)ap/03;
Bartolo et al JCAP(04)
[and non-Gaussianity]; Nakamura PRD(06)gq,
PTP(07)gq/06,
PTP(09)-a0812 [gauge-invariant],
a0901 [consistency
conditions]; Hwang & Noh PRD(07);
Senatore et al a0812;
Noh et al PRL(09) [infrared divergence of Einstein contribution to density
power spectrum].
@ Third-order: Hwang & Noh JCAP(07)-a0704 [pressureless
fluids]; Christopherson & Malik a0909 [gauge transformation rules].
@ 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 PRD(08)-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]; Capozziello et al a0905 [tomographic
description]; Allen & Rendall a0906 [initial-singularity
and late-time asymptotics].
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 JPCS(07)gq/06 [critical
view, and proposal]; Mielczarek & Szydlowski PLB(07)-a0705 [possible
test of lqg].
@ In bounces / cyclic cosmology: Geshnizjani & Battefeld PRD(06)ht/05;
Battefeld & Geshnizjani PRD(06);
Abramo & Peter JCAP(07)-a0705 [spectrum
unaffected]; Cardoso & Wands PRD(08);
Wands ASL-a0809 [pre-big-bang];
Brandenberger a0905 [reddening of spectrum].
@ 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 in(04)ap
[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 PRD(07)gq
[equivalence to scalar-tensor de Sitter background]; Uddin et al CQG(07)-a0705 [comparison
of
approaches]; Carloni et al PRD(08)-a0707;
Pogosian & Silvestri PRD(08)-a0709 [structure
growth]; Tsujikawa et al PRD(08)-a0712 [metric
and Palatini]; de la Cruz-Dombriz et al PRD(08)-a0802,
a0812-in;
Gannouji et al JCAP(09)-a0809;
Ananda et al a0809;
Tsujikawa et al a0908 [f(R) gravity].
@ 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 PRD(07)-a0707;
Kojima & Ichiki a0902 [primordial magnetic fields].
@ Other theories: Cartier et al PRD(01)
[string theory]; Linder & Cahn APP(07)ap [growth
of perturbations]; Brandenberger et al PRD(07)-a0706 [from
a tachyonic big bang]; Martino et al PRD-a0812 [result
of spherical collapse]; > s.a. cosmic
strings; Horava-Lifshitz Gravity; 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];
Lyth & Liddle 09.
@ Back-reaction: Nambu PRD(02)gq;
Brandenberger & Lam ht/04 [and
cosmological constant relaxation]; Martineau & Brandenberger PRD(05)ap;
Behrend et al JCAP(08)-a0710,
Li & Schwarz PRD(08)-a0710 [and
FRW expansion]; Paranjape PRD(08);
Gasperini et al JCAP(09)-a0901 [gauge-invariant averages].
@ Non-Gaussianity: Brown & Crittenden PRD(05)ap [from
magnetic fields]; Cooray PRL(06) [21-cm background anisotropy proposal]; > s.a. cmb [Sachs-Wolfe
effect].
@ From quantum to classical fluctuations: Kiefer et al IJMPD(98)gq;
Kiefer & Polarski AdP(98)gq [emergence
from quantum
state]; Lombardo gq/98-PhD;
Pérez
et al CQG(06)gq/05;
Lyth & Seery PLB(08)ap/06 [after
horizon exit]; De Unánue & Sudarsky PRD(08)-a0801 [gravitational
collapse of wave function]; Armendáriz-Picón et al CQG(09)-a0805 [limits];
Bojowald & Skirzewski ASL(08)-a0808 [effective
theory]; Kiefer & Polarski ASL(09)-a0810
[rev]; Genovese ASL(09)-a0904 [and
entanglement]; Sudarsky a0906; > s.a. early-universe
cosmology, inflation; quantum-to-classical
transition.
@ Quantum corrections to correlations: Weinberg PRD(06);
van der Meulen & Smit JCAP(07)-a0707.
@ 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 PRD(08)-a0708 [temperature
and fluctuations
in the early universe]; Hamann et al JCAP(08)
[trans-Planckian ripples]; Coley a0905 [averaging
on the null cone]; > s.a. observational cosmology [difference
between surveys].
Quantum Theory > s.a. early-universe
cosmology; quantum
cosmology; 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 PRD(08)-a0805 [decoherence
and entropy].
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send feedback and suggestions to bombelli at olemiss.edu – modified 11
sep 2009