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

Autor:	Paschali, Paschalis G., Chrysostomou, Georgios C.
Rok vydání:	2012
Předmět:	General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1201.6087 Zobrazit plný text záznamu View this record from Arxiv