A general covariant symplectic structure from conservation laws

被引:7
|
作者
Basini, G
Capozziello, S
机构
[1] Ist Nazl Fis Nucl, Nazl Frascati Lab, I-0044 Frascati, Italy
[2] Univ Salerno, Dipartimento Fis ER Caianiello, I-84081 Baronissi, SA, Italy
[3] Ist Nazl Fis Nucl, Sez Napoli, Grp Collegato Salerno, I-84081 Baronissi, SA, Italy
关键词
symplectic structure; general covariance; affine connections; conservation laws;
D O I
10.1142/S0217732305016543
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A covariant symplectic structure can be identified, in general, starting from conservation laws connected to generic Hamiltonian invariants constructed from covariant vectors, bivectors and tensors. This feature leads to both holonomic and anholonomic formulations of Hamilton equations and Poisson brackets and it seems a deep link common to all interactions including gravity. A key role in the approach is played by affine connections instead of metric.
引用
收藏
页码:251 / 262
页数:12
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