In General > s.a. canonical quantum
gravity [including
midisuperspace]; geometrodynamics [superspace]; semiclassical
quantum gravity.
* Idea: Restrict the
number of degrees of freedom of the metric to a finite number, by imposing
symmetries; Consequences are that (1) The quantum constraints become easier
to handle,
when written in the usual variables; (2) Since we allow fewer metric variations
when getting the equations of motion from the action, we may get more classical
solutions, some spurious
ones being unstable; (3) Semiclassically and in quantum theory, the results
may not be equivalent to appropriate sectors of the full theory.
@ General references: Kiefer PRD(88);
Morikawa PRD(89);
Nagai PTP(89);
Guven & Vergara PRD(91);
Shabanov PLB(91);
Torre IJTP(99);
Bojowald
et al CQG(04)gq/03 [and
spin connection]; Cognola & Zerbini gq/04 [rev];
Capozziello et al CQG(08)-a0706 [tomographic
representation].
@ Limits of validity: Kuchar & Ryan PRD(89);
Sinha & Hu PRD(91)
[from quantum field theory in curved spacetime]; Mazzitelli PRD(92)
[corrections from midisuperspace].
@ Canonical and path integral: Marolf in(95)gq/94 [spectral
analysis inner product]; Marolf PRD(96)gq;
Menotti & Peirano NPB(97)ht/96 [measure];
Simeone PLA(03).
@ Semiclassical: Minzoni et al PRD(97)
[stability, coherent states]; Colistete et al PRD(98)gq/97 [large vs small scale factor].
@ Related topics: Calzetta CQG(89)
[dissipation and memory loss]; Hu et al gq/93-in
[dissipative processes]; Embacher gq/96,
NPPS(97)gq/96-in
[decompositions]; Krori CQG(96)
[and conformal degree of freedom]; Simeone JMP(98)gq/01 [as
gauge theory]; Cavaglià IJMPD(99)gq/98 [approximate
quantization]; Capozziello & Lambiase
GRG(00)gq/99,
GRG(00)gq/99 [Noether];
Montani IJMPD(04)gq [revised
canonical quantum gravity]; Marolf PRD(09)-a0902 [observables
and problem of time].
Bianchi Models > s.a. bianchi
models.
@ I: Berger & Vogeli PRD(85)
[vacuum, path integrals]; Chakraborty IJTP(92);
Manojlovic & Mena PRD(93)gq;
Hervik CQG(00)gq;
Pinto et al PLA(00)
[isotropization]; Pimentel et al GRG(01)gq/00 [Bergmann-Wagoner
theory]; Christodoulakis et al CQG(02)gq/01 [vacuum];
Alvarenga et al gq/02 [difference
between interpretations];
Vakili & Sepangi PLB(07)-a0706
[with gup]; Mann & Murphy IJTP(07)
[apparent non-removal of singularity]; > s.a. gravitational
thermodynamics; quantum
cosmology.
@ I + scalar: Calzetta PRD(91)
[decoherence and anisotropy dissipation]; Bachmann & Schmidt PRD(00)
[period-doubling bifurcation]; Folomeev & Gurovich G&C(00)gq, GRG(00);
Ita CQG(08)-a0805,
a0805/CQG [Kodama
state].
@ I + fluid: Berger PRD(85),
in(86) [path integral]; Alvarenga et al GRG(03)
[loss of unitarity].
@ I, supersymmetric: Macías et al CQG(87);
D'Eath et al PLB(93),
D'Eath PLB(94)
[+ cosmological constant].
@ I, semiclassical: Huang PRD(98)ht/02;
Bolen et al CQG(04)gq [coherent];
Malecki PRD(04)gq [lqg,
inflation]; Date PRD(05)gq [pre-classical
solutions]; > s.a. semiclassical general relativity.
@ I, lqg: Cartin et al CQG(04)gq [generating
functions]; Malecki PRD(04)gq;
Cartin & Khanna PRL(05)gq [no
pre-classical solutions], PRD(05)gq;
Date PRD(05)gq [and
Kasner singularity]; Connors & Khanna CQG(06)gq/05 [numerical
pre-classical solutions];
Chiou PRD(07)gq/06 [+
scalar]; Chiou gq/07,
PRD(07)-a0710 [bounces];
Chiou & Vandersloot PRD(07)-a0707 [and
anisotropies]; Szulc PRD(08)-a0803;
Martín-Benito et al PRD(08)-a0804 [vacuum];
Chiou a0812 [effective
dynamics]; Maartens & Vandersloot a0812;
Ashtekar & Wilson-Ewing PRD(09)-a0903 [lqg
and lqc]; Martín-Benito et al PRD(09)-a0906 [physical
evolution]; Nelson & Sakellariadou a0907 [instability];
Cailleteau et al PRD-a0907 [Ekpyrotic/Cyclic
model]; Dzierzak & Piechocki a0909.
@ II-VII: Hojman et al PRD(92)
[Hamiltonian from equations of motion]; Manojlovic & Mena PRD(93)gq [II];
Christodoulakis et al PRD(96)
[V], PLB(97)
[II], PLB(98)
[V],
PLB(01)gq [VI
and VII vacuum]; Christodoulakis & Papadopoulos PLB(01)gq/00 [II], gq/01 [II,
VIA, VIIA]; Ashtekar & Wilson-Ewing a0910 [lqc, singularity resolution].
@ IX: Misner PR(69);
Kodama PRD(90);
Giampieri PLB(91);
Jensen et al NPB(91);
Louko PRD(95)gq/94 [Chern-Simons
state and Hartle-Hawking boundary conditions]; Major & Smolin PRD(95)gq/94, gq/96;
Marolf CQG(95)gq/94 [observables
and Hilbert space]; Graham & Paternoga PRD(96)gq [from
Chern-Simons state]; Paternoga & Graham
PRD(96)gq [
< 0];
Savchenko et al IJMPA(99)gq,
IJMPA(00)gq;
Macías
GRG(99);
Craig & Hartle PRD(04)gq/03 [generalized
sum over histories]; Kheyfets et al CQG(06)gq/05
[non-Dirac, expectation value of constraints]; > s.a. quantum
cosmology [inhomogeneities].
@ IX, supersymmetric:
Graham PLB(92);
Graham & Bene PLB(93)
[+ scalar]; Moniz gq/95-in, IJMPA(96)gq/95.
@ Chaos: Berger PRD(89)
[vacuum IX, chaotic]; Graham gq/94 [VIII
and IX]; Bojowald et al CQG(04)gq [vacuum
IX, lqg, non-chaotic behavior]; in Matinyan ht/06-in;
Forte CQG(09)-a0812 [and
billiard representation]; > s.a. FRW
cosmology.
@ Lqc / lqg: Bojowald CQG(00)gq/99 [class
A], CQG(03)gq;
Bojowald & Date
PRL(04)gq/03 [IX
lqg]; Bojowald et al CQG(06)gq/05 [anisotropies];
Ita
a0812 [gravity
+ Klein-Gordon], a0901/CMP
[Chang-Soo/CDJ variables]; Battisti et al a0911 [triangulated lqc]; > s.a. FRW
cosmology.
@ Supersymmetric, supergravity: Capovilla & Guven CQG(94)gq [Ashtekar
variables]; Capovilla & Obregón PRD(94)gq [+
cosmological constant]; Socorro & Medina
PRD(00)gq/99 [class
A].
@ General class A:
Ashtekar et al gq/93; Christodoulakis et al G&C(02)gq/94 [framework];
Yamazaki gq/01 [Dirac
sqrt].
@ Other models: Christodoulakis & Korfiatis JMP(92)
[with scalar]; Ashtekar et al IJMPD(93)gq [observables
and quantization].
Wormholes, Baby Universes > s.a. cosmology [philosophical]; wormholes;
quantum gravity and cosmology [Hartle-Hawking
proposal].
@ Effective action, decoherence: Hájícek PRD(82), PRD(82);
Hawking PLB(87), PRD(88); Coleman & Lee PLB(89).
@ Applications: Lee PRL(88)
[scalar field and effective interaction]; Accetta et al PRD(89).
@ Baby universes: Hawking & Laflamme PLB(88)
[and non-renormalizability]; Giddings & Strominger
NPB(89);
Myers NPB(89);
Borde et al PRD(99)
[in monopole collisions]; Vachaspati a0705.
@ Related topics: Lyons NPB(89)
[fermions]; Volovich PLB(89)
[spacetime dimension].
Other Models and Theories > s.a. FRW
models; non-commutative
gravity; path
integrals; string
cosmology; Taub Universe.
* Microsuperspace: A
model in which the sum over histories reduces to a finite number of ordinary
integrals.
@ Kantowski-Sachs: Louko & Vachaspati PLB(89);
Chakraborty MPLA(91), & Chakravarty IJMPA(98);
Uglum PRD(92);
Mazzitelli PRD(92)
[and spherical symmetry]; Conradi CQG(95)gq/94;
Simeone GRG(00)gq/01,
GRG(02)gq;
Shen & Zhang IJTP(00)
[from sqrt of Wheeler-DeWitt equation]; Modesto IJTP(06)gq/04 [lqg/Bohr
compactification], CQG(06)gq/05 [and
black hole singularity]; Chiou PRD(08)
[with lqc corrections]; > s.a. non-commutative
gravity.
@ Other models: Halliwell & Louko PRD(89)
[S4 microsuperspace]; Gambini & Pullin PRL(03)gq/02,
CQG(03)gq/02 [discrete];
Sawayama gq/06 [static
inhomogeneous]; > s.a.
anti-de sitter space; models
in canonical
quantum gravity.
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send feedback and suggestions to bombelli at olemiss.edu – modified 16
nov 2009