Minisuperspace Quantum Cosmology  

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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