Particle acceleration near a rotating black hole in a Randall-Sundrum brane with a cosmological constant

We study particle acceleration in the strong gravitational field of a rotating black hole in a Randall-Sundrum brane with a nonvanishing effective cosmological constant. The strong dependence of the collision energy of the accelerating particles on the parameters, such as the radius of the innermost stable circular orbits ${r}_{\mathrm{ISCO}}$ and the value of the dimensionless parameter $\ensuremath{\xi}=({r}_{\mathrm{ISCO}}\ensuremath{-}{r}_{\mathrm{h}})/{r}_{\mathrm{h}}$ of the particles moving around the rotating black hole in a Randall-Sundrum brane space-time, has been found. It is shown that the contribution of the parameter $\ensuremath{\xi}$ decreases the rate of acceleration and imposes a limitation on the energy of the accelerating particles, preventing them from having an infinite value. Finally, we study the ejected particles' energy from a collision of two accelerating particles around a rotating black hole in the brane.

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