Paschalis G. Paschali, Georgios C. Chrysostomou
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.
View original:
http://arxiv.org/abs/1201.6087
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