Electric Penrose process in the spacetime of a quantum-corrected Reissner-Nordström black hole
In this paper, we study the electric Penrose process for charged particles in the spacetime of a covariant quantum-corrected Reissner-Nordström black hole. We first derive the equations of motion for charged particles around the black hole, and then analyze how the quantum parameter $ζ$ modifies the generalized ergoregion boundary and affects the energy-extraction efficiency. We further analyze the subsequent motion of charged particles in the electric Penrose process, and rigorously prove that under specific simplified conditions, the resulting fragment particle can always escape to a distant observer with a net energy gain, a conclusion applicable to a wide range of charged black hole models. Finally, we study the electric Penrose process in a critical regime where the initial particle is bound, yet its high-energy fragment particle may still escape. A key finding is that while $ζ$ slightly alters the particle trajectories, it can qualitatively alter outcomes near critical conditions, causing a fragment particle that would escape in the classical black hole spacetime to become trapped in the quantum-corrected one. These results collectively demonstrate the obstructive effect of quantum corrections on the Penrose process and provide potential kinematic signatures to distinguish the quantum-corrected from classical Reissner-Nordström black holes.
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