Gyroscope precession frequency analysis of a five dimensional charged rotating Kaluza-Klein black hole

Abstract

In this paper, we study the spin precession frequency of a test gyroscope attached to a stationary observer in the five dimensional rotating Kaluza-Klein black hole (RKKBH). We derive the conditions under which the test gyroscope moves along a timelike trajectory in this geometry and the regions where the spin precession frequency diverges. The magnitude of the gyroscope precession frequency around KK black hole diverges at two spatial locations outside the event horizon. However in the static case, the behavior of the Lense Thirring frequency of a gyroscope around KK black hole is much like an ordinary Schwarzschild black hole. Since a rotating Kaluza-Klein black hole is a generalization of Kerr-Newman black hole, we present two mass-independent schemes to distinguish these two spacetimes.

14 pages, 4 figures, to be published in Chinese Physics C

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• Massless polarized particle and Faraday rotation of light in the Schwarzschild spacetime
• Light deflection by squashed Kaluza-Klein black holes in a plasma medium
• Geodetic precession and shadow of quantum extended black holes
• Observational appearance of Kaluza-Klein black holes
• Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
• Accelerating Kaluza-Klein black hole and Kerr/CFT correspondence
• An angular rainbow of light from curved spacetime