Abstract
We have studied the orbits of magnetized particles around Hořava-Lifshitz black hole with mass \(M\) immersed in an asymptotically uniform magnetic field in the infrared approximation when \(\omega M^{2}\gg 1\). It is shown that magnetized particle’s orbit in Hořava-Lifshitz spacetime is different with compare to one in Schwarzschild spacetime due to the presence of additional terms related to the Kehagias-Sfetsos (KS) parameter \(\omega\). Using the Hamilton-Jacobi formalism, we have found the dependence of the area of stable circular orbits of the magnetized particle on dimensionless KS parameter \(\tilde{\omega}\) and have plotted them for several values of magnetic coupling parameter \(\beta\) as well as obtained the equations of motion of the magnetized particle. Moreover, we have studied the dependence of the collision of (magnetized, charged, non-charged) particles on KS parameter \(\omega\) for some fixed values of the magnetic coupling parameter \(\beta\).
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Acknowledgements
The authors acknowledge the project Supporting Integration with the International Theoretical and Observational Research Network in Relativistic Astrophysics of Compact Objects, Grant No. CZ.1.07/2.3.00/20.0071, supported by Operational Programme Education for Competitiveness funded by the Structural Funds of the European Union. B.T. and Z.S. acknowledge the internal student grant of the Silesian University in Opava SGS/23/2013. Z.S. acknowledges the Albert Einstein Center for gravitation and astrophysics supported by the Czech Science Foundation Grant No. 14-37086G. This research is supported in part by Grants No. F2-FA-F113, No. EF2-FA-0-12477, and No. F2-FA-F029 of the UzAS, and by the ICTP through Grants No. OEA-PRJ-29 and No. OEA-NET-76 and by the Volkswagen Stiftung, Grant No. 86866. A.A. and B.A. thank the Goethe University, Frankfurt am Main, Germany, and the Faculty of Philosophy and Science, Silesian University in Opava, Czech Republic, for the warm hospitality.
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Toshmatov, B., Abdujabbarov, A., Ahmedov, B. et al. Motion and high energy collision of magnetized particles around a Hořava-Lifshitz black hole. Astrophys Space Sci 360, 19 (2015). https://doi.org/10.1007/s10509-015-2533-y
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DOI: https://doi.org/10.1007/s10509-015-2533-y