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;