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arXiv 1201.6087gr-qc
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旋转系统时空的空间截面性质

Properties of the Spatial Sections of the Space-Time of a Rotating System

Paschalis G. Paschali, Georgios C. Chrysostomou

摘要:

研究了非惯性旋转参考系时空空间解的测地线方程的对称群。它是一个七维李群,既不是可解的,也不是幂零的。变分对称形成一个五维可解子群。利用余切丛上的辛结构,我们研究了由此产生的哈密顿系统,它与空间截面上的测地线流密切相关。我们还研究了空间截面的一些内在和外在的几何性质。

英文摘要:

We study the symmetry group of the geodesic equations of the spatial solutions of the space-time generated by a noninertial rotating system of reference. It is a seven dimensional Lie group, which is neither solvable nor nilpotent. The variational symmetries form a five dimensional solvable subgroup. Using the symplectic structure on the cotangent bundle we study the resulting Hamiltonian system, which is closely related to the geodesic flow on the spatial sections. We have also studied some intrinsic and extrinsic geometrical properties of the spatial sections.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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