Quantum cosmology with a minimal length

被引:13
作者
Battisti, Marco Valerio [1 ]
Montani, Giovanni [1 ,2 ,3 ]
机构
[1] Univ Roma La Sapienza, ICRA, Phys Dept G9, I-00185 Rome, Italy
[2] ENEA CR Frascati Dipartimento FPN, I-00044 Frascati, Italy
[3] ICRANET CC Pescara, I-65100 Pescara, Italy
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2008年 / 23卷 / 08期
关键词
minisuperspace; generalized uncertainty principle; cosmological singularity;
D O I
10.1142/S0217751X08040184
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Quantum cosmology in the presence of a fundamental minimal length is analyzed in the context of the flat isotropic and the Taub cosmological models. Such minimal scale comes out from a generalized uncertainty principle and the quantization is performed in the minisuperspace representation. Both the quantum Universes are singularity-free and (i) in the isotropic model no evidences for a Big-Bounce appear; (ii) in the Taub one a quasi-isotropic configuration for the Universe is predicted by the model.
引用
收藏
页码:1257 / 1265
页数:9
相关论文
共 22 条
[1]   CAN SPACETIME BE PROBED BELOW THE STRING SIZE [J].
AMATI, D ;
CIAFALONI, M ;
VENEZIANO, G .
PHYSICS LETTERS B, 1989, 216 (1-2) :41-47
[2]   Quantum nature of the big bang: An analytical and numerical investigation [J].
Ashtekar, Abhay ;
Pawlowski, Tomasz ;
Singh, Parampreet .
PHYSICAL REVIEW D, 2006, 73 (12)
[3]   Quantum dynamics of the Taub universe in a generalized uncertainty principle framework [J].
Battisti, Marco Valerio ;
Montani, Giovanni .
PHYSICAL REVIEW D, 2008, 77 (02)
[4]  
Battisti MV, 2008, AIP CONF PROC, V966, P219, DOI 10.1063/1.2836998
[5]   The Big-Bang singularity in the framework of a Generalized Uncertainty Principle [J].
Battisti, Marco Valerio ;
Montani, Giovanni .
PHYSICS LETTERS B, 2007, 656 (1-3) :96-101
[6]  
BINA A, 2008, IN PRESS IJTP
[7]   Quantum cosmology of the brane universe [J].
Boyarsky, A ;
Neronov, A ;
Tkachev, I .
PHYSICAL REVIEW LETTERS, 2005, 95 (09)
[8]   Exact solution of the harmonic oscillator in arbitrary dimensions with minimal length uncertainty relations [J].
Chang, LN ;
Minic, D ;
Okamura, N ;
Takeuchi, T .
PHYSICAL REVIEW D, 2002, 65 (12)
[9]   Noncommutative quantum cosmology -: art. no. 161301 [J].
García-Compeán, H ;
Obregón, O ;
Ramírez, C .
PHYSICAL REVIEW LETTERS, 2002, 88 (16) :4-161301
[10]   QUANTUM COSMOLOGICAL SINGULARITIES [J].
GOTAY, MJ ;
DEMARET, J .
PHYSICAL REVIEW D, 1983, 28 (10) :2402-2413