Hamiltonian formulation of 5-dimensional Kaluza-Klein theory

被引:0
作者
Lacquaniti, V. [1 ,2 ]
Montani, G. [1 ,3 ,4 ]
机构
[1] Univ Roma La Sapienza, Dipartimento Fis G9, ICRA, I-00185 Rome, Italy
[2] Univ Roma Tre, Dipartimento Fis E Amaldi, I-00146 Rome, Italy
[3] ENEA CR Frascati, Dipartimento FPN, I-00044 Frascati, Italy
[4] ICRANET, CC Pescara, I-65100 Pescara, Italy
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 2007年 / 122卷 / 02期
关键词
D O I
10.1393/ncb/i2007-10362-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the consistency of the ADM approach to KK model; we prove that KK reduction commutes with ADM splitting. This leads to a well-defined Hamiltonian; we provide the outcome. The electromagnetic constraint is derived from a geometrical one and this result enforces the physical meaning of KK model. Moreover we study the role of the extra scalar field 0 we have in our model; classical hints from geodesic motion and cosmological solutions suggest that 0 can be an alternative time variable in the relational point of view.
引用
收藏
页码:201 / 206
页数:6
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