Symmetries of geodesic motion in Gödel-type spacetimes
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 Noether gauge symmetries for all classes I-IV, and find the first integrals of corresponding classes to derive a complete charac...
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| Veröffentlicht in: | Journal of cosmology and astroparticle physics 2014-07, Vol.2014 (7), p.i-20 |
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| container_title | Journal of cosmology and astroparticle physics |
| container_volume | 2014 |
| creator | Camci, U |
| description | 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 Noether 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, r, [varphi] and z of each classes I-IV which depends essentially on two independent parameters m and w, we explicitly integrated the geodesic equations of motion for the corresponding Godel-type spacetimes. |
| doi_str_mv | 10.1088/1475-7516/2014/07/002 |
| format | Article |
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| ispartof | Journal of cosmology and astroparticle physics, 2014-07, Vol.2014 (7), p.i-20 |
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| language | eng |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY Cosmology EQUATIONS OF MOTION Gages GAUGE INVARIANCE Gauges INTEGRALS LAGRANGIAN FUNCTION Mathematical analysis METRICS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS SPACE-TIME SYMMETRY |
| title | Symmetries of geodesic motion in Gödel-type spacetimes |
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