For the rainbow function g0=g1=(1-E/EP)^{-1}, the center-of-mass energy of a collision diverges as one particle's energy approaches the Planck energy, at any radius.
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Particle collisions around static spherically symmetric black hole and rotating black hole in gravity's rainbow
For the rainbow function g0=g1=(1-E/EP)^{-1}, the center-of-mass energy of a collision diverges as one particle's energy approaches the Planck energy, at any radius.