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arXiv · 1507.00633

Particle Acceleration by Static Black Holes in a Model of $f(R)$ Gravity

M. Halilsoy·A. Ovgun
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Abstract

Particle collisions are considered within the context of $f(R)$ gravity described by $f(R)=R+2α\sqrt{R}$, where $R$ stands for the Ricci scalar and $α$ is a non-zero constant. The center of mass (CM) energy of head-on colliding particles moving in opposite radial directions near the naked singularity/horizon are considered. Collision of particles in the same direction near the event horizon yields finite energy while the energy of oppositely moving particles grows unbounded. Addition of a cosmological constant does not change the feature. Collision of a massless outgoing photon with an infalling particle and collision of two oppositely moving photons following null-geodesics are also taken into account.

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M. Halilsoy, A. Ovgun. 2017-04-24. Particle Acceleration by Static Black Holes in a Model of $f(R)$ Gravity. https://doi.org/10.1139/cjp-2017-0138

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