A theoretical study investigates electromagnetic energy extraction from dyonic Kalb-Ramond black holes that violate Lorentz symmetry. The research focuses on formulating electric and magnetic Penrose processes, mechanisms by which energy can be extracted from a black hole. These processes involve an incident particle decaying near the event horizon, with one fragment falling into the black hole with negative energy and the other escaping with enhanced energy. The novelty lies in the negative-energy states arising from electromagnetic canonical energy rather than a geometrical ergoregion, and in the consideration of Lorentz violation.
The geometry of the studied black hole differs from the standard dyonic Reissner-Nordström solution due to a modified asymptotic normalization and an effective charge combining electric and magnetic sectors. The electric and magnetic energy extraction channels are controlled by potentials Φ₁ = Q/[(1-ℓ)r₊] and Ψ₁ = p/[(1-2ℓ)r₊], respectively. In addition to Penrose processes, the work analyzes charged-field superradiance and horizon stability, as well as charged-particle collisions. The possibility of overcharging or overmagnetizing the black hole is investigated, and the center-of-mass energy of collisions is calculated.
The results indicate that non-extremal same-direction collisions maintain finite energy, while head-on or near-critical collision configurations can generate very high energies. In the extremal limit, electrically or magnetically critical particles can produce the Bañados-Silk-West divergence if the radial reachability condition is met. This study contributes to the understanding of energy extraction from black holes in contexts where Lorentz symmetry might not be universal, opening new avenues for exploring extreme astrophysical phenomena and their implications for fundamental physics.