Geodesic motion in the (rotating) black string spacetime

Abstract

In this article we study the geodesic motion of test particles and light in the five-dimensional (rotating) black string spacetime. If a compact dimension is added to the four-dimensional Schwarzschild or Kerr spacetime, the new five-dimensional metric describes a (rotating) black string. The geodesics in the Schwarzschild and Kerr spacetime have been studied in great detail, however, when a compact dimension is added new behaviour occurs. We present the analytical solutions of the geodesic equations and discuss the possible orbits. The motion in the ordinary four-dimensional Schwarzschild and Kerr spacetime is compared to the motion in the (rotating) black string spacetime.

extended conclusion section, typos corrected

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• Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes
• Analysis of accretion disk around a black hole in dRGT massive gravity
• Analytic treatment of complete geodesics in a static cylindrically symmetric conformal spacetime
• The Stable Trapping Phenomenon for Black Strings and Black Rings and its Obstructions on the Decay of Linear Waves
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Geodesic motion in R- charged black hole space-times
• Particle Dynamics Around the Black String
• Geodesic equations for particles and light in the black spindle spacetime
• Types of the geodesic motions in Kerr-Sen-AdS${}_4$ spacetime
• On spinless null propagation in five dimensional space-times with approximate space-like Killing symmetry
• Hyperelliptic functions and motion in general relativity