Abstract
We investigate the dynamics of a neutral and a charged particle around a static and spherically symmetric black hole in the presence of quintessence matter and external magnetic field. We explore the conditions under which the particle moving around the black hole could escape to infinity after colliding with another particle. The innermost stable circular orbit (ISCO) for the particles are studied in detail. Mainly the dependence of ISCO on dark energy and on the presence of external magnetic field in the vicinity of black hole is discussed. By using the Lyapunov exponent, we compare the stabilities of the orbits of the particles in the presence and absence of dark energy and magnetic field. The expressions for the center of mass energies of the colliding particles near the horizon of the black hole are derived. The effective force on the particles due to dark energy and magnetic field in the vicinity of black hole is also discussed.
Highlights
Observational evidences indicate that magnetic field should be present in the vicinity of black holes [15]
We study the motion of the particles around the black hole surrounded by dark energy and magnetic field
We can conclude that the presence of dark energy strengthens the magnetic field which is present in the vicinity of black hole
Summary
Observational evidences indicate that magnetic field should be present in the vicinity of black holes [15]. The relativistic motion of particles in the conducting matter in the accretion disk may generate the magnetic field inside the disk This field does not affect the geometry of the black hole yet, it affects the motion of charged particles and support them to escape [16,17]. In this paper we obtain the CME expression for the colliding particles near horizon of Schwarzschild-like black hole surrounded by quintessence matter and BSW effect is studied for both neutral and charged particles. The magnetic field is homogeneous at infinity This magnetic field and quintessence matter strongly affects the dynamics of the particles and location of their inner stable circular orbits (ISCO) around black hole. Before dealing with a difficult problem about dynamics of a charged particle around black hole, we start with the neutral particle
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