In General > s.a. minisuperspace;
models in canonical quantum gravity; quantum
cosmology.
* Factor ordering:
Different ones have been used for the a part of the kinetic term
in the scalar constraint, such as, at least for k =
0, (a3)–1a
aa
a [Page JMP(91),
Leclerc CQG(07)gq],
a–1/4
aa–1/2
aa–1/4 [DeWitt PR(67)],
and a–1/2
aa–1/2
a [Christodoulakis
& Zanelli PLA(84)].
@ General references: Kiefer NPB(90);
Louko & Ruback CQG(91)
[spatially flat]; Perlt & Pohle
PLB(91);
Dalarsson MPLA(95);
Mallett CQG(95);
Dabrowski & Larsen PRD(95)gq [tunneling];
Pollock IJMPD(96)
[open universe and causality horizon]; Hossain CQG(04)gq/03 [Hubble
operator]; Anastopoulos & Savvidou CQG(05)gq/04 [histories
approach]; Steigl & Hinterleitner CQG(06)gq/05 [and
factor ordering]; Gerhardt CQG(09)-a0806.
@ Singularity avoidance: Padmanabhan PRD(83)
[conformal factor as degree of freedom]; Kim PLA(97)gq [with
massless scalar, de Broglie-Bohm]; Bojowald PRL(01)gq;
Husain & Winkler PRD(04)gq/03;
Battisti & Montani PLB(07)gq,
a0709-in [with
gup], IJMPA(08)-a0802
[with minimal length]; Kreienbuehl PRD(09)-a0901 [no
semiclassical avoidance].
@ Time evolution: Feinberg & Peleg PRD(95)gq [scalar,
and
Wheeler-DeWitt operator]; Hinterleitner CQG(02)
[dust-filled]; Battisti & Montani gq/07/NCB
[evolutionary quantization].
Loop / Connection Representation > s.a. loop
quantum cosmology [including bounces]; inflationary
models.
@ General references: Barbero & Ryan PRD(96)gq/95;
Chakraborty GRG(97);
Bojowald CQG(00)gq/99,
CQG(00)gq/99,
CQG(01)gq/00,
CQG(01)gq/00,
PRL(01)gq [initial
conditions], CQG(02)gq,
CQG(02)gq,
GRG(03)gq;
Chakraborty & Chakraborty
NCB(00); Hinterleitner CQG(01);
Ashtekar et al ATMP(03)gq;
Bojowald & Morales-Técotl LNP(04)gq/03-in;
Hossain CQG(05)gq [energy
conditions and stability]; Mielczarek & Szydlowski PRD(08)-a0801 [corrections].
@ k = –1 model: Vandersloot PRD(07)gq/06;
Szulc CQG(07)-a0707 [with
< 0].
@ k = 0 model: Kaminski & Lewandowski CQG(08)-a0709 [with
massless scalar].
@ k = +1 model: Singh & Toporensky PRD(04)gq/03 [singularity
avoidance]; Szulc
et al CQG(07)gq/06;
Ashtekar et al PRD(07)gq/06.
@ With
matter: Xiong & Zhu PRD(07)gq [tachyon];
Nelson & Sakellariadou PRD(07)-a0706,
PRD(07)
[lattice refinement]; Gumjudpai a0706-in,
Fu et al PRD(08)-a0808 [phantom field].
@ Other semiclassical: Lidsey et al PRD(04)gq [oscillations,
inflation]; Singh & Vandersloot PRD(05)gq;
Sen PRD(06)gq [with
tachyon
matter]; Pedram
PLB(09)-a0811 [with
conformally
coupled scalar].
@ Effective
dynamics: Date & Hossain CQG(04)gq [effective H];
Banerjee & Date CQG(05)gq [and
discreteness]; Mielczarek et al a0906 [closed FRW + scalar field +
]; > s.a. higher-order
gravity.
@ Related topics: Mora gq/00 [quantum-gravity
effects as inflaton]; Sami et al PRD(06)gq [future
singularity]; > s.a. first-order actions [Plebanski
form].
Various Types of Matter
@ Scalar: Blyth & Isham PRD(75);
Page JMP(91)
[minimal vs conformal coupling]; Mena Marugán
CQG(94)gq, PRD(94)gq [wormhole
bases]; Embacher NPB(96)gq [massive];
Mostafazadeh JMP(98)gq/96;
Blaut & Kowalski-Glikman
PLB(97)gq [massless];
Gurovich et al GRG(01)gq/00;
Mostafazadeh AP(04)gq/03,
CzJP(04)gq/03 [interpretation];
Ita CQG-gq/07; > s.a. path-integral
quantum gravity.
@ Scalar, lqg: Bojowald & Hinterleitner PRD(02)gq [massless];
Alexander et al PRD(04)ht/03 [inflation];
Hinterleitner & Major
PRD(03)gq [Lorentzian];
Green & Unruh PRD(04)gq [massless];
Ashtekar et al PRL(06),
PRD(06)gq,
PRD(07);
Bojowald & Kagan PRD(06)gq [non-minimal,
and inflation]; Taveras PRD(08)-a0708 [using
semiclassical states of full theory].
@ Scalar + other: Christodoulakis & Zanelli PLA(84) [+ fermion]; De Lorenci
et
al PRD(97)gq [+
dust]; Khvedelidze & Palii CQG(01)gq [+
spinor].
@ Dust: Pinto-Neto et al PLA(05)gq [+
radiation]; Amemiya & Koike PRD-a0910 [gauge-invariant,
relational observables].
@ Other matter: Isham & Nelson PRD(74)
[fermions]; Moniz CQG(02)
[non-Abelian
Born-Infeld]; Monerat et al PRD(06)gq/05 [
< 0
+ radiation]; Ortiz et al PLA(05)
[pfluid + supersymmetric matter]; Dabrowski et al PRD(06)ht [phantom
field]; Glinka G&C-gq/06;
Pedram et al IJTP(07)-a0705
[Chaplygin gas]; Wei & Zhang PRD(07)-a0705 [lqg,
quintom and h-essence energies]; Gerhardt CQG(09)-a0903 [massive
Yang-Mills field]; Gerhardt a0907 [Yang-Mills
field].
Semiclassical, Phenomenology > s.a. cosmological
acceleration.
@ General references: Higuchi & Wald PRD(95)gq/94 [and
time];
Weinstein & Akhoury ht/03, ht/04 [de
Sitter, and phenomenology]; Gousheh et al CQG(07)gq [wave
packets].
@ Emergence of classical spacetime: Kim CQG(96)gq [with
massive scalar, coherent states].
@ And classical chaos: Cornish & Shellard PRL(98)gq/97 [with
massive scalar]
@ Modified Friedmann equation:
Maziashvili PRD(05)gq/04;
Husain & Winkler PRD(07)gq/06 [polymer-like,
semiclassical]; Singh et al PRD(06)
[lqg, critical density and bounce]; > s.a. friedmann
equation.
In Other Theories of Gravity > see modified theories of quantum gravity; non-commmutative gravity; quantum cosmology [changing constants].
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send feedback and suggestions to bombelli at olemiss.edu – modified 22
oct 2009