Physical meaning of the conserved quantities on anti-de Sitter geodesics

被引：5

作者：

Cotaescu, Ion I. ^{[1
]}

机构：

[1] West Univ Timisoara, V Parvan Ave 4, RO-1900 Timisoara, Romania

来源：

PHYSICAL REVIEW D | 2017年 / 95卷 / 10期

关键词：

HIDDEN SYMMETRIES;

D O I：

10.1103/PhysRevD.95.104051

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The geodesic motion on anti-de Sitter spacetimes is studied, pointing out how the trajectories are determined by the ten independent conserved quantities associated with the specific SO(2,3) isometries of these manifolds. The new result is that there are two conserved SO(3) vectors which play the same role as the Runge-Lenz vector of the Kepler problem, determining the major and minor semiaxes of the ellipsoidal anti-de Sitter geodesics.

引用

页数：4

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