Dynamics and center of mass energy of colliding particles around black hole in f(R) gravity

Abstract

We have investigated the dynamics of particles in the vicinity of a static spherically symmetric black hole in f(R) gravity. Using the Euler-Lagrange method the dynamical equations of a neutral particle are obtained. Assuming that the particle is initially moving in the innermost stable circular orbit, we have calculated its escape velocity, after a collision with some other particle. The conditions for the escape of colliding particles are discussed. The effective potential and the trajectories of the escaping particles are studied graphically.

arXiv comment10 Pages, 2 Figures

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• Observational signatures of a static $f(R)$ black hole with thin accretion disk
• Thermodynamics of Black holes With Higher Order Corrected Entropy
• Schwarzschild black hole surrounded by quintessential matter field as an accelerator for spinning particles
• Calculating the Hawking Temperatures of Conventional Black Holes in the f(R) Gravity Models with the RVB Method
• Circular motion of particle around Schwarzschild-MOG black hole
• Charged particle motion around a magnetized Reissner-Nordström black hole