A noncommutative Friedman cosmological model

被引:4
作者
Heller, Michael [1 ,2 ]
机构
[1] Copernicus Ctr Interdisciplinary Studies, PL-30387 Krakow, Poland
[2] Vatican Observ, V-00120 Vatican City, Vatican
关键词
Friedman world model; singularities; quantum cosmology; noncommutative geometry; GRAVITY;
D O I
10.1002/andp.201010415
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The closed Friedman cosmological model, based on noncommutative geometry, is presented. Two global effects exhibited by the model are discussed. The first effect is the "generation of matter out of geometry". Gravitational field equation in this model has the form of the eigenvalue equation for the Einstein operator. It turns out that the eigenvalues of this operator reproduce components of the energy-momentum tensor. The second effect concerns the existence of the initial and final singularities. Because of the strongly probabilistic character of the noncommutative dynamics on the fundamental level, although singularities do exist, they are probabilistically irrelevant. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码:196 / 201
页数:6
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