Geodesic Properties and Orbits in 5-dimensional Hypercylindrical Spacetime

Abstract

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.

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

References in corpus (3)

• Relativistic images of Schwarzschild black hole lensing
• Spacetime structure of 5D hypercylindrical vacuum solutions with tension
• Geometrical properties of the trans-spherical solutions in higher dimensions

Cited by in corpus (8)

• Homoclinic orbit and the violation of the chaos bound around a black hole with anisotropic matter fields
• Particle Probe of Horava-Lifshitz Gravity
• Black hole as an Information Eraser
• Geometrical properties of the trans-spherical solutions in higher dimensions
• Brane Solutions with Tension
• Classification of Hypercylindrical Spacetimes with Momentum Flow
• Geodesic motions in extraordinary string geometry
• Shadow cast by a rotating black hole with anisotropic matter