Symmetries of geodesic motion in Godel-type spacetimes

被引：34

作者：

Camci, U. ^{[1
]}

机构：

[1] Akdeniz Univ, Dept Phys, TR-07058 Antalya, Turkey

来源：

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2014年 / 07期

关键词：

gravity; particle physics - cosmology connection; cosmological phase transitions; NOETHER SYMMETRIES; CONSERVED QUANTITIES; TIMES; COLLINEATIONS; EQUATIONS; GRAVITY; ISOMETRIES; SPACES; LIE;

D O I：

10.1088/1475-7516/2014/07/002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we study Noether gauge symmetries of geodesic motion for geodesic Lagrangian of four classes of metrics of Godel-type spacetimes for which we calculated the Noet her gauge symmetries for all classes I-IV, and find the first integrals of corresponding classes to derive a complete characterization of the geodesic motion. Using the obtained expressions for <(t)over dot>, <(r)over dot>, <(phi)over dot> and <(z)over dot> of each classes I-IV which depends essentially on two independent parameters 711 and to, we explicitly integrated the geodesic equations of motion for the corresponding Godel-type space times.

引用

页数：21

共 49 条

[1]

Adler R., 1975, Introduction to General Relativity, V2nd edn

[2] Classification of Plane Symmetric Static Space-Times According to Their Noether Symmetries [J].