Perturbations
of FRW Models| Perturbations
of FRW Models |
In General > s.a. cosmology;
FRW models; perturbations
in general relativity; relativistic
cosmology [effects].
* Classification: A convenient decomposition of a perturbation is
respectively a scalar, vector, and tensor perturbation; Here, Si and
Fi are
divergenceless 3-vectors.
* Gauge: Four of the
10 components can be gauged away, and four fixed using constraints, leaving
two degrees of freedom; For calculations,
the longitudinal
gauge
(E = B = Si = 0, metric perturbation diagonal) is often convenient,
but
in terms of physical insight the comoving gauge seems to be best.
* Vector perturbations: 2004, Usually dismissed, because they decay
(they
are a flux, and with the expansion...), but the situation is not very clear.
@ General references: Bardeen PRD(80)
[gauge]; D'Eath AP(76);
Ellis & Yaklitsch
ApJ(89) [constraints]; Schön PRD(89);
Ramírez & Kopeikin
PLB(02)gq/01 [k =
0 hyperbolic pde's]; Bicák et al PRD(04)gq/03 [toroidal];
Durrer ap/04-ln.
@ Gauge-invariant: Ellis & Bruni PRD(89);
Ellis et al PRD(89);
Stewart CQG(90);
Bombelli et al CQG(94);
Durrer FCP(94)ap/93;
Deruelle & Uzan IJTP(97)gq/98 [conservation
laws]; Zimdahl CQG(97)
[conserved quantities]; Kopeikin et al PLA(01)gq [dust,
new approach]; Miedema
& van Leeuwen gq/03/CQG;
Giesel et al a0711.
@ Related topics: Bashinsky & Bertschinger PRD(02)ap [dynamics];
Andersson & Moncrief in(04)gq/03 [global
existence]; Nambu PRD(05)gq
[long-
, back-reaction];
Bicák et al PRD(07)-a0803 [and local inertial frames].
Specific Models > s.a. cosmological
perturbations [including higher-order gravity]; cosmological
models.
@ Exact: Couch & Torrence GRG(96); Sopuerta PRD(99)
[general, + flat dust models]; Castagnino et al
IJTP(02)
[k = 0 + scalar].
@ Gravitational waves: Waylen PRS(78)
[in k = –1]; Couch & Torrence GRG(90), GRG(90)
[progressing waves].
@ Bouncing models: Brandenberger et al PRD(02)
[trans-lP physics];
Gordon & Turok PRD(03);
Martin & Peter
PRD(03)ht,
PRL(04)ap/03,
PRD(04)ht, gq/04;
Deruelle & Streich PRD(04)gq;
Deruelle gq/04;
Gasperini et al NPB(04);
Allen & Wands PRD(04);
Pinto-Neto IJMPD(04)ht;
Battefeld & Geshnizjani PRD(06)ht/05;
Creminelli et al PRD(05);
Cardoso & Wands PRD(08).
@ With varying constants: Barrow & Mota CQG(03)gq/02 [varying 
].
@ Other models: Hwang & Noh CQG(02)ap/01 [multiple
fields]; Khoury et al PRD(02)ht/01 [ekpyrotic];
Ullrich a0709-MS
[fluids + cosmological constant].
Non-Linear, Second-Order
@ General references: Reula PRD(99)gq [exponential
decay]; Mena et al IJMPA(02)gq-in
[+ cosmological constant]; Noh & Hwang PRD(04)ap/03 [+
cosmological constant]; Langlois & Vernizzi PRL(05)ap [fully
non-perturbative].
@ Gauge-invariant: Clarkson PRD(04)
[and waves]; Bartolo et al JCAP(04)ap/03 [non-Gaussianity];
Nakamura gq/06-in.
@ Localized: Wilson & Dyer GRG(07) [spherically symmetric overdense galaxy-like
region].
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send feedback and suggestions to bombelli at olemiss.edu – modified 6 jan
2009