Symmetries of geodesic motion in Godel-type spacetimes

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Camci U.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, vol.2014, no.7, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2014 Issue: 7
  • Publication Date: 2014
  • Doi Number: 10.1088/1475-7516/2014/07/002
  • Journal Name: JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: gravity, particle physics - cosmology connection, cosmological phase transitions, NOETHER SYMMETRIES, CONSERVED QUANTITIES, TIMES, COLLINEATIONS, EQUATIONS, GRAVITY, ISOMETRIES, SPACES, LIE
  • Akdeniz University Affiliated: Yes

Abstract

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.