Properties of the Spatial Sections of the Space-Time of a Rotating System

Details Properties of the Spatial Sections of the Space-Time of a Rotating System Properties of the Spatial Sections of the Space-Time of a Rotating System

2012-01-29

arxiv.org/abs/1201.6087v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages

Scientific paper

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.

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