2008/06/30 by Bogeun Gwak, Bum-Hoon Lee, Wonwoo Lee · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geodesic #Geodesics in general relativity #Geometry #Hyperplane #Mathematical analysis #Mathematics #Physics #Quantum mechanics #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.3938/jkps.54.2202
published as J.Korean Phys.Soc.54:2202-2211,2009 · 17 pages, 10 figures, 4 tables, minor corrected and reference added
arxiv created 2008/11/11 · openalex publication_date 2009/06/15 · arxiv updated 2010/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.