Brane
World: Cosmology and Gravitation| Brane
World: Cosmology and Gravitation |
Gravitation and Geometry > s.a. Pauli-Fierz
Theory; tests
of general relativity; modifications and tests
of newtonian
gravity.
* Issues: Gravity in
5D braneworld backgrounds often exhibits problematic features,
including kinetic ghosts, strong coupling, and the van Dam-Veltman-Zakharov
(vDVZ) discontinuity, which are an obstacle to producing and analyzing
models with interesting and potentially observable modifications
of 4D gravity.
* And Newtonian gravity:
On scales r 
R,
the force goes like F 
r–(n+2);
On scales r 
R,
it goes like F r –2.
@ Reviews: Schwarzschild PT(00)sep;
Langlois gq/04-GR17;
Kumar & Suresh ht/06;
Gabadadze a0705-ln;
Antoniadis JPA(07);
Kaloper a0711-in
[codimension 2].
@ General references: Fairbairn PLB(01)hp;
Steer & Parry
IJTP(02)ht-in;
Khoury & Zhang PRL(02)ht [Friedmann
equation]; Medved ht/02 [charged
black hole problem]; Kofinas et al JHEP(03)ht [curvature
corrections]; Bao et al PRD(06).
@ Issues: Chung et al PRD(02)hp/00 [flatness
problem]; Deruelle & Katz
PRD(01)
[recovering general relativity on the brane]; Carroll & Mersini PRD(01)ht [self-tuning];
Singh & Dadhich
MPLA(03) [localization].
@ Corrections to Newtonian gravity: Ito PLB(02)ht/01;
Park & Tamaryan
PLB(03),
Callin hp/04,
Callin & Ravndal PRD(04)hp [Randall-Sundrum];
Arnowitt & Dent PRD(05)ht/04 [Kaluza-Klein-type
corrections]; de Rham et al gq/06 [weaker
at sub-mm scales]; Palma a0705 [susy
braneworld].
@ Tests:
Iorio JCAP(05)gq/04 [solar
system], CQG(05)gq, gq/05, JCAP(06),
Iorio & Giudice JCAP(06)gq/05 [DGP,
outer planet motion]; Böhmer et al a0801-CQG [solar system].
@ And general relativity: Bruni et al PRL(01)gq [collapse,
no-go result]; Langlois IJMPA(02)gq-in,
gq/02-in
[rev];
Anderson & Tavakol CQG(03)gq [bulk-brane
split]; Durrer & Kocian
CQG(04)ht/03 [binary
pulsar and radiation]; Iorio IJMPD(06)gq/05 [DGP,
spin precession].
@ Quantum gravity:
Maia et al JHEP(07)-a0704
[ADM formalism].
@ Related topics: Battye et al PRD(01)ht [Gauss-Codazzi];
Soda gq/01-in
[for relativists];
Kanti et al PLB(02)
[size]; Bogdanos et al a0706.
> Other issues:
see censorship; energy
conditions; initial
value formulation; models.
Cosmology in General > s.a. acceleration; cosmological
constant;
entropy;
quantum cosmology; quintessence;
string phenomenology.
* Phenomenology: 2000,
Carroll showed that if the number of extra dimensions n 
2,
and with some model for matter (gauge field + cosmological constant), there
are no stable models; Expects this to be true more generally; 2003, Models
seem to have difficulties
producing a reasonable inflation.
* Models: Randall-Sundrum
models have an AdS bulk; Dvali-Gabadadze-Porrati (DGP) models have a flat bulk.
@ Intros, reviews: Carter IJTP(01);
Langlois PTPS(02)ht-in;
Brax & van
de Bruck CQG(03)ht;
Maartens LRR(04)gq/03;
Brax et al RPP(04)ht;
Calcagni ht/04-in
[inflation, phen]; Coley CJP(05)ap;
Langlois ht/05-in;
Wands gq/06-in;
Cline a0704;
Steinhardt & Turok 07.
@ Bounce solutions: Kanti & Tamvakis PRD(03);
Setare EPJC(06)ht [from
self-gravity correction to Friedmann equation].
@ DGP models: Dvali et al PLB(00)ht;
Lue PRP(06);
Gregory et al JHEP(07);
Gregory a0801-in
[fatal flaws]; Battat et al PRD-a0805 [Solar System constraints].
@ Models: Maggiore & Riotto NPB(99)ht/98;
Cline et al PRL(99)
[FRW + 
];
Ida JHEP(00);
Kaloper et al PRL(00)ht;
Starkman et al PRD(01)ht/00 [FRW ×
compact hyperbolic];
Medved ht/02 [AdS
black hole bulk]; Carroll & Guica ht/03 [football-shaped
extra D's]; Barrow & Tsagas PRD(04)gq/03 [Gödel-type];
Gibbons et al PRL(05)
[colliding branes]; > s.a. bianchi
models.
@ Constraints: Hannestad PRD(01)hp;
Fairbairn & Goobar PLB(06)ap/05 [from
sn surveys]; Palma PRD(06)ht/05;
Alam & Sahni PRD(06);
Fay A&A(06)ht;
Dicus & Repko ap/06 [supernovas
and DGP]; Rebouças ap/07-in [non-trivial topology and DGP].
@ Tests: Calcagni JCAP(03)hp,
JCAP(04)hp/03 [inflation];
Pires et al PRD(06)
[lookback time]; Huang et al JCAP(06) [inflation].
@ And big bang: Blanco-Pillado et al PRD(04)ht/03 [colliding bubbles].
@ And inflation: Mazumdar & Wang PLB(00); Huey & Lidsey PLB(01),
PRD(02)ap;
Kyae & Shafi PLB(02); Green & Mazumdar PRD(02)hp [hybrid];
Kallosh & Linde
JCAP(03)ht [susy];
Tsujikawa et al PRD(04) [constraints]; > s.a. inflationary
scenarios.
@ Related topics: Tye & Wasserman PRL(01)
[solution to cosmological constant problem]; Youm
PRD(01),
PRD(01)
[variable c]; Maia et al
CQG(05)ap/04 [dark
energy]; Godlowski & Szydlowski
GRG(04)ap [and
supernova data]; Gergely PRD(05)gq/04 [no
swiss cheese]; Ponce de León GRG(06)gq/04;
Antoniadis et al gq/07-in
[and singularities]; Greene & Levin JHEP(07)
[stabilization and dark energy]; news pw(08)jan
[liquid He-3 analog of brane
collision]; > s.a. FRW spacetime, perturbations.
Ekpyrotic Scenario > s.a. early
universe; inflationary scenarios [alternatives].
* Idea: A cosmological
scenario without an initial singularity, proposed in 2001 by Steinhardt,
Khoury, Turok and Ovrut; The hot big bang is produced in an
otherwise empty, static universe by
the
collision
of a brane in the bulk with a bounding orbifold plane; Claims to solve the
horizon, flatness and monopole problems and generate a nearly scale-invariant
spectrum of perturbations without the superluminal expansion of inflation.
@ General references: Khoury et al PRD(01)ht;
Kallosh et al PRD(01)ht [criticism],
Khoury et al ht/01 [response];
Hwang PRD(02)ap/01 [power
spectrum];
Räsänen
NPB(02)ht/01 [brane
collisions]; Martin et al PRD(02)ht/01 [bounce];
Rasanen ap/02-PhD
[primer]; news pw(08)jan [new version].
@ New Ekpyrotic Cosmology:
Buchbinder et al PRD(07)ht;
Buchbinder et al a0706 [initial
conditions].
@ Perturbations: Brandenberger & Finelli JHEP(01)ht [effective
field theory];
Durrer
ht/01; Garriga & Tanaka
PRD(02)ht/01;
Lyth PLB(02)hp/01 [bounce];
Martin et al PRD(03)ht/02;
Peter
et al ht/02-in;
Lehners et al ht/07.
Related Effects > s.a. branes [astrophysics]; collapse;
modified general relativity [signature change]; gravitational
instantons.
@ Cosmology: Coley CQG(02)
[no chaos in Bianchi IX]; Germani & Sopuerta
ASS(03)ht/02 [varying G and ].
@ And cmb anisotropy: Koyama PRL(03); Ringeval et al ht/03/PRD.
> Other: see casimir
force; dark_matter; phenomenology
of quantum gravity; topological defects; topology
change.
Randall-Sundrum Models > s.a. black
holes; boundaries in field theory; branes;
propagation of gravitational waves; tests
of general relativity.
* Idea: The extra dimensions
are compactified; The usual spacetime is a 4D hypersurface or brane, and the
bulk spacetime is AdS; Need a large < 0;
First model motivated by claims that it solves the hierarchy problem; Second
model, with hidden brane pushed to infinite distance, motivated by claims that
it reproduces Newtonian gravity.
@ Theory: Randall & Sundrum PRL(99)ht, PRL(99)ht + pn(99)oct;
Garriga & Tanaka PRL(00)ht/99 [and
gravity]; Ichinose CQG(01)ht/00 [1
wall], PRD(02)ht/00 [wall
+ anti-wall]; Kakushadze PLB(01)ht/00 [gravity];
Campos & Sopuerta
PRD(01)ht,
PRD(01)ht;
Mannheim ht/06-in
[propagators and causality].
@ Models: Padmanabhan & Shankaranarayanan PRD(01)ht/00 [4D
Schwarzschild, de Sitter]; Barceló & Campos PLB(03)ht/02 [analogs];
Randall et al JHEP(05)ht [discretized].
@ And cosmology: Barceló & Visser PLB(00)ht [in
5D-AdS]; Stoica et al PLB(00)ht;
van de Bruck et al PLB(00)ht;
Boehm et al PRD(01)ht [instability];
Campos & Sopuerta
PRD(01)ap [Bianchi
I & V]; Kanno PRD(05)ht [Horava-Witten
supersymmetric extension].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
19 jul 2008