From loop quantum gravity to cosmology: The two-vertex model

被引：0

作者：

Cendal, Alvaro ^{[1
,2
]}

Garay, Inaki ^{[3
,4
]}

Garay, Luis J. ^{[1
,2
]}

机构：

[1] Univ Complutense Madrid, Dept Fis Teor, Madrid 28040, Spain

[2] Univ Complutense Madrid, IPARCOS, Madrid 28040, Spain

[3] Univ Basque Country UPV EHU, Dept Phys, Leioa 48940, Spain

[4] Univ Basque Country UPV EHU, EHU Quantum Ctr, Barrio Sarriena S N, Leioa 48940, Spain

来源：

PHYSICAL REVIEW D | 2024年 / 109卷 / 12期

关键词：

GEOMETRY; VOLUME; AREA;

D O I：

10.1103/PhysRevD.109.126011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the notion of volume and its dynamics in the loop -quantum -gravity truncation known as the two -vertex model. We also show that its U ( N ) -symmetry reduction provides the old effective dynamics of loop quantum cosmology with an arbitrary perfect barotropic fluid content. A suitable modification of the Poisson bracket structure of the U ( N ) -symmetric model leads to the loop quantum cosmology improved dynamics.

引用

页数：12

共 36 条

[1]

Agullo I., 2017, 100 Years of General Relativity-Loop Quantum Gravity, DOI [10.1142/10445, DOI 10.1142/10445]

[2]

Aleksandrov A. D., 2005, Convex Polyhedra, DOI [10.1007/b137434, DOI 10.1007/B137434]

[3] Classical dynamics for loop gravity: The two-vertex model [J].

Aranguren, Eneko ;

Garay, Inaki ;

Livine, Etera R. .

PHYSICAL REVIEW D, 2022, 105 (12)

[4] Quantum nature of the big bang [J].

Ashtekar, A ;

Pawlowski, T ;

Singh, P .

PHYSICAL REVIEW LETTERS, 2006, 96 (14)

[5] Quantum theory of geometry: I. Area operators [J].

Ashtekar, A ;

Lewandowski, J .

CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (1A) :A55-A81

[6] Loop quantum cosmology of k=1 FRW models [J].

Ashtekar, Abhay ;

Pawlowski, Tomasz ;

Singh, Parampreet ;

Vandersloot, Kevin .

PHYSICAL REVIEW D, 2007, 75 (02)

[7] Quantum nature of the big bang: Improved dynamics [J].

Ashtekar, Abhay ;

Pawlowski, Tomasz ;

Singh, Parampreet .

PHYSICAL REVIEW D, 2006, 74 (08)

[8] Quantum nature of the big bang: An analytical and numerical investigation [J].

Ashtekar, Abhay ;

Pawlowski, Tomasz ;

Singh, Parampreet .

PHYSICAL REVIEW D, 2006, 73 (12)

[9] A short review of loop quantum gravity [J].

Ashtekar, Abhay ;

Bianchi, Eugenio .

REPORTS ON PROGRESS IN PHYSICS, 2021, 84 (04)

[10] Loop quantum cosmology: a status report [J].

Ashtekar, Abhay ;

Singh, Parampreet .

CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (21)

← 1 2 3 4 →