DYNAMICS OF NEUTRAL AND CHARGED PARTICLE IN THE GRAVITATIONAL FIELD OF REISSNER-NORDSTROM BLACK HOLE IN THE PRESENCE OF EXTERNAL MAGNETIC FIELD AND DARK ENERGY

I have studied the dynamics of a neutral and a charged particle around the Reissner-Nordstrom black hole surrounded by quintessence in the presence of an external magnetic field. The collision of a neutral particle moving around the black hole with another neutral particle has been discussed first. Then the collision of a charged particle moving around the black hole with another charged particle has been discussed. By numerical solution of the equations of motion it has been shown that after collision, if the particle gets sufficient energy, then it can escape to infinity. Dependence of orbits on the quintessence and the magnetic field for the charged particle has been studied in detail using the effective potential of the charged particle. Using the Lyapunov exponent effect of magnetic field and dark energy on the stability of the particle has been discussed. I have derived the expression for the center of mass energies of colliding charged particles moving around the black hole. Effective force on the charged particle due to dark energy and external magnetic field has been also discussed.