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

2017/03/28 by Bushra Majeed, Mubasher Jamil · 30 citations
Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Center of mass (relativistic) #Circular orbit #Classical mechanics #Collision #Cosmology and Gravitation Theories #Dynamics (music) #Energy–momentum relation #Gravitation #Orbit (dynamics) #Particle (ecology) #Physics #Rotating black hole #Strong gravity #gr-qc

paper · pdf · doi:10.1142/s0218271817410176

published in International Journal of Modern Physics D 26(05), 1741017 (World Scientific) · 10 Pages, 2 Figures

openalex publication_date 2017/03/28 · openalex created_date 2017/04/07 · arxiv created 2017/05/10 · arxiv updated 2017/05/12 · openalex updated_date 2026/08/05

Abstract

We have investigated the dynamics of particles in the vicinity of a static spherically symmetric black hole in [Formula: see text] 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 (IMSCO), 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.

Citations