Quantum-reduced loop gravity: Cosmology

被引：66

作者：

Alesci, Emanuele ^{[1
,2
]}

Cianfrani, Francesco ^{[3
]}

机构：

[1] FAU Erlangen Nurnberg, Inst Quantum Grav, D-91058 Erlangen, Germany

[2] Uniwersytet Warszawski, Inst Fizyki Teoretycznej, PL-00681 Warsaw, Poland

[3] Uniwersytet Wroclawski, Inst Fizyki Teoretycznej, PL-50204 Wroclaw, Poland

来源：

PHYSICAL REVIEW D | 2013年 / 87卷 / 08期

关键词：

MASTER CONSTRAINT PROGRAM; SPIN DYNAMICS; CONNECTIONS; VARIABLES; GEOMETRY; SPACE; AREA;

D O I：

10.1103/PhysRevD.87.083521

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We introduce a new framework for loop quantum gravity: mimicking the spin foam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the canonical theory. As a first application of quantum-reduced loop gravity we study the inhomogeneous extension of the Bianchi I model. The emerging quantum cosmological model represents a simplified arena on which the complete canonical quantization program can be tested. The achievements of this analysis could elucidate the relationship between loop quantum cosmology and the full theory. DOI: 10.1103/PhysRevD.87.083521

引用

页数：21

共 62 条

[41] Loop cosmology: Regularization vs. quantization [J].

Haro, J. ;

Elizalde, E. .

EPL, 2010, 89 (06)

[42] SINGULARITIES OF GRAVITATIONAL COLLAPSE AND COSMOLOGY [J].

HAWKING, SW ;

PENROSE, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1970, 314 (1519) :529-&

[43]

Henneaux M., 1994, Quantization of Gauge Systems

[44] Uniqueness of diffeomorphism invariant states on holonomy-flux algebras [J].

Lewandowski, Jerzy ;

Okolow, Andrzej ;

Sahlmann, Hanno ;

Thiemann, Thomas .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 267 (03) :703-733

[45] INVESTIGATIONS IN RELATIVISTIC COSMOLOGY [J].

LIFSHITZ, EM ;

KHALATNIKOV, IM .

ADVANCES IN PHYSICS, 1963, 12 (46) :185-249

[46]

Linsefors L., ARXIV13011264

[47] New spinfoam vertex for quantum gravity [J].

Livine, Etera R. ;

Speziale, Simone .

PHYSICAL REVIEW D, 2007, 76 (08)

[48] Loop quantization of vacuum Bianchi I cosmology [J].

Martin-Benito, M. ;

Mena Marugan, G. A. ;

Pawlowski, T. .

PHYSICAL REVIEW D, 2008, 78 (06)

[49] Anomaly-free vector perturbations with holonomy corrections in loop quantum cosmology [J].

Mielczarek, Jakub ;

Cailleteau, Thomas ;

Barrau, Aurelien ;

Grain, Julien .

CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (08)

[50] Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves [J].

Mielczarek, Jakub ;

Cailleteau, Thomas ;

Grain, Julien ;

Barrau, Aurelien .

PHYSICAL REVIEW D, 2010, 81 (10)

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