Motion and high energy collision of magnetized particles around a Hořava-Lifshitz black hole

TLDR: In this article, the authors studied the orbits of magnetized particles around Hořava-Lifshitz black hole with mass M$M$ immersed in an asymptotically uniform magnetic field in the infrared approximation when ωM2≫1$\omega M^{2}\gg 1$.

Abstract: We have studied the orbits of magnetized particles around Hořava-Lifshitz black hole with mass M$M$ immersed in an asymptotically uniform magnetic field in the infrared approximation when ωM2≫1$\omega M^{2}\gg 1$. 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 ω$\omega$. 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 ω˜$\tilde{\omega}$ and have plotted them for several values of magnetic coupling parameter β$\beta$ 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 ω$\omega$ for some fixed values of the magnetic coupling parameter β$\beta$.