Geodesic Properties and Orbits in 5-dimensional Hypercylindrical Spacetime

Details Geodesic Properties and Orbits in 5-dimensional Hypercylindrical Spacetime Geodesic Properties and Orbits in 5-dimensional Hypercylindrical Spacetime

2008-06-26

arxiv.org/abs/0806.4320v2

J.Korean Phys.Soc.54:2202-2211,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 10 figures, 4 tables, minor corrected and reference added

Scientific paper

10.3938/jkps.54.2202

We investigate the geodesic motions of a massive particle and light ray in the hyperplane orthogonal to the symmetry axis in the 5-dimensional hypercylindrical spacetime. The class of the solutions depends on one constant a which is the ratio of string mass density and tension. There exist unstable orbits in null geodesic only in some range of a. The innermost stable circular orbits in timelike geodesic also exist only in a certain range of the parameter a. The capture cross section and the deflection angle of light ray are also computed.

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