Publication date: Nov 2015
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 ω M2≫ 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. 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{ω} and have plotted them
for several values of magnetic coupling parameter β 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 for some fixed values of the
magnetic coupling parameter β.
Authors:
Toshmatov, Bobir; Abdujabbarov, Ahmadjon; Ahmedov, Bobomurat; Stuchlík, Zdeněk;