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

Abstract

Particle collisions are considered within the context of $f(R)$ gravity described by $f(R)=R+2\alpha \sqrt{R}$, where $R$ stands for the Ricci scalar and $\alpha$ 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.

8 pages, 1 figure, Accepted for publication in Canadian Journal of Physics

References in corpus (26)

• Quantum Gravity at a Lifshitz Point
• Charged Spinning Black Holes as Particle Accelerators
• Collisional Penrose process near the horizon of extreme Kerr black holes
• Emergent Flux from Particle Collisions Near a Kerr Black Hole
• Collision of two general geodesic particles around a Kerr black hole
• Particle Acceleration on the Background of the Kerr-Taub-NUT Spacetime
• Revised upper limit to energy extraction from a Kerr black hole
• Dynamics of a Charged Particle Around a Slowly Rotating Kerr Black Hole Immersed in Magnetic Field
• Black holes as particle accelerators: a brief review
• Particle Collisions on Stringy Black Hole Background
• Ultra-high-energy debris from the collisional Penrose process
• Naked singularities as particle accelerators
• Naked Singularities as Particle Accelerators II
• Rotating charged hairy black hole in (2+1) dimensions and particle acceleration
• Particle motion and collisions around rotating regular black hole
• Center of Mass Energy of the Collision for Two General Geodesic Particles Around a Kerr-Newman-Taub-NUT Black Hole
• Rotating Ayón-Beato-García black hole as a particle accelerator
• Generation of spherically symmetric metrics in $f\left(R\right)$ gravity
• High energy collision of two particles in wormhole spacetimes
• Are black holes totally black?
• Ultra-high energy particle collisions in a regular spacetime without blackholes or naked singularities
• Super-Penrose collisions are inefficient - a Comment on: Black hole fireworks: ultra-high-energy debris from super-Penrose collisions
• Charged Dilation Black Holes as Particle Accelerators
• Particle acceleration by Majumdar-Papapetrou di-hole
• Particle Collision near 1+1- Dimensional Horava-Lifshitz Black Hole and Naked Singularity
• Timescale for trans-Planckian collisions in Kerr spacetime

Cited by in corpus (9)

• Black Hole Shadow in Symmergent Gravity
• Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87${}^{\ast }$ and Sgr. A${}^{\ast }$ results
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• Impact of curvature based geometric constraints on $F(R)$ theory
• Schwarzschild black hole surrounded by quintessential matter field as an accelerator for spinning particles
• A complete study of conformally flat pseudo-symmetric spacetimes in the theory of F(R)-gravity
• Motion and collision of particles near DST Black holes
• Center of Mass Energy of Three General Geodesic Colliding Particles Around a Kerr-MOG Black Hole
• Studies on Thin-shells and Thin-shell Wormholes