Covariant feature of the Mixmaster model invariant measure

被引:5
|
作者
Imponente, G [1 ]
Montani, G
机构
[1] Univ Naples Federico II, Dipartimento Fis, Naples, Italy
[2] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[3] Ist Nazl Fis Nucl, I-80125 Naples, Italy
[4] Dipartimento Fis G9, ICRA, I-00185 Rome, Italy
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2002年 / 11卷 / 08期
关键词
D O I
10.1142/S021827180200230X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We provide a Hamiltonian analysis of the Mixmaster Universe dynamics showing the covariant nature of its chaotic behavior with respect to any choice of time variable. Asymptotically to the cosmological singularity, we construct the appropriate invariant measure for the system (which relies on the appearance of an "energy-like" constant of motion) in such a way that its existence is independent of fixing the time gauge, i.e. the corresponding lapse function. The key point in our analysis consists of introducing generic Misner-Chitre-like variables containing an arbitrary function, whose specification allows us to set up the same statistical scheme in any time gauge.
引用
收藏
页码:1321 / 1330
页数:10
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